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Als Funktion 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= 0",[568,2122,2124,2142],{"className":2123,"ariaHidden":598},[597],[568,2125,2127,2130,2133,2136,2139],{"className":2126},[602],[568,2128],{"className":2129,"style":770},[606],[568,2131,751],{"className":2132,"style":774},[611,612],[568,2134],{"className":2135,"style":779},[778],[568,2137,754],{"className":2138},[783],[568,2140],{"className":2141,"style":779},[778],[568,2143,2145,2148],{"className":2144},[602],[568,2146],{"className":2147,"style":1829},[606],[568,2149,1034],{"className":2150},[611],[559,2152,2154],{"id":2153},"herleitung","Herleitung",[564,2156,2157,2158,2299,2300,2613,2614,2755,2756,2824,2825,942],{},"Aus ",[568,2159,2161,2203],{"className":2160},[571],[568,2162,2164],{"className":2163},[575],[577,2165,2166],{"xmlns":579},[581,2167,2168,2200],{},[584,2169,2170,2172,2174,2196,2198],{},[587,2171,589],{},[1375,2173,1377],{},[584,2175,2176,2178,2188,2190,2192,2194],{},[669,2177,1152],{"fence":598},[662,2179,2180,2182],{},[587,2181,589],{},[584,2183,2184,2186],{},[669,2185,671],{},[673,2187,675],{},[669,2189,1152],{"stretchy":1151},[587,2191,751],{},[669,2193,1161],{"stretchy":1151},[669,2195,1161],{"fence":598},[669,2197,754],{},[587,2199,751],{},[591,2201,2202],{"encoding":593},"f\\!\\left(f^{-1}(y)\\right) = y",[568,2204,2206,2290],{"className":2205,"ariaHidden":598},[597],[568,2207,2209,2213,2216,2219,2222,2281,2284,2287],{"className":2208},[602],[568,2210],{"className":2211,"style":2212},[606],"height:1.2em;vertical-align:-0.35em;",[568,2214,589],{"className":2215,"style":613},[611,612],[568,2217],{"className":2218,"style":1595},[778],[568,2220],{"className":2221,"style":1504},[778],[568,2223,2225,2231,2266,2269,2272,2275],{"className":2224},[1416],[568,2226,2228],{"className":2227,"style":1424},[866,1423],[568,2229,1152],{"className":2230},[1428,1429],[568,2232,2234,2237],{"className":2233},[611],[568,2235,589],{"className":2236,"style":613},[611,612],[568,2238,2240],{"className":2239},[698],[568,2241,2243],{"className":2242},[702],[568,2244,2246],{"className":2245},[706],[568,2247,2249],{"className":2248,"style":711},[710],[568,2250,2251,2254],{"style":714},[568,2252],{"className":2253,"style":719},[718],[568,2255,2257],{"className":2256},[723,724,725,726],[568,2258,2260,2263],{"className":2259},[611,726],[568,2261,671],{"className":2262},[611,726],[568,2264,675],{"className":2265},[611,726],[568,2267,1152],{"className":2268},[866],[568,2270,751],{"className":2271,"style":774},[611,612],[568,2273,1161],{"className":2274},[941],[568,2276,2278],{"className":2277,"style":1424},[941,1423],[568,2279,1161],{"className":2280},[1428,1429],[568,2282],{"className":2283,"style":779},[778],[568,2285,754],{"className":2286},[783],[568,2288],{"className":2289,"style":779},[778],[568,2291,2293,2296],{"className":2292},[602],[568,2294],{"className":2295,"style":770},[606],[568,2297,751],{"className":2298,"style":774},[611,612]," folgt mit der Kettenregel ",[568,2301,2303,2378],{"className":2302},[571],[568,2304,2306],{"className":2305},[575],[577,2307,2308],{"xmlns":579},[581,2309,2310,2375],{},[584,2311,2312,2318,2320,2342,2345,2365,2367,2369,2371,2373],{},[662,2313,2314,2316],{},[587,2315,589],{},[669,2317,1353],{"mathvariant":1351,"lspace":1352,"rspace":1352},[1375,2319,1377],{},[584,2321,2322,2324,2334,2336,2338,2340],{},[669,2323,1152],{"fence":598},[662,2325,2326,2328],{},[587,2327,589],{},[584,2329,2330,2332],{},[669,2331,671],{},[673,2333,675],{},[669,2335,1152],{"stretchy":1151},[587,2337,751],{},[669,2339,1161],{"stretchy":1151},[669,2341,1161],{"fence":598},[669,2343,2344],{},"⋅",[662,2346,2347,2363],{},[584,2348,2349,2351,2361],{},[669,2350,1152],{"fence":598},[662,2352,2353,2355],{},[587,2354,589],{},[584,2356,2357,2359],{},[669,2358,671],{},[673,2360,675],{},[669,2362,1161],{"fence":598},[669,2364,1353],{"mathvariant":1351,"lspace":1352,"rspace":1352},[669,2366,1152],{"stretchy":1151},[587,2368,751],{},[669,2370,1161],{"stretchy":1151},[669,2372,754],{},[673,2374,675],{},[591,2376,2377],{"encoding":593},"f'\\!\\left(f^{-1}(y)\\right) \\cdot \\left(f^{-1}\\right)'(y) = 1",[568,2379,2381,2495,2604],{"className":2380,"ariaHidden":598},[597],[568,2382,2384,2387,2419,2422,2425,2484,2488,2492],{"className":2383},[602],[568,2385],{"className":2386,"style":2212},[606],[568,2388,2390,2393],{"className":2389},[611],[568,2391,589],{"className":2392,"style":613},[611,612],[568,2394,2396],{"className":2395},[698],[568,2397,2399],{"className":2398},[702],[568,2400,2402],{"className":2401},[706],[568,2403,2405],{"className":2404,"style":1753},[710],[568,2406,2407,2410],{"style":714},[568,2408],{"className":2409,"style":719},[718],[568,2411,2413],{"className":2412},[723,724,725,726],[568,2414,2416],{"className":2415},[611,726],[568,2417,1353],{"className":2418},[611,726],[568,2420],{"className":2421,"style":1595},[778],[568,2423],{"className":2424,"style":1504},[778],[568,2426,2428,2434,2469,2472,2475,2478],{"className":2427},[1416],[568,2429,2431],{"className":2430,"style":1424},[866,1423],[568,2432,1152],{"className":2433},[1428,1429],[568,2435,2437,2440],{"className":2436},[611],[568,2438,589],{"className":2439,"style":613},[611,612],[568,2441,2443],{"className":2442},[698],[568,2444,2446],{"className":2445},[702],[568,2447,2449],{"className":2448},[706],[568,2450,2452],{"className":2451,"style":711},[710],[568,2453,2454,2457],{"style":714},[568,2455],{"className":2456,"style":719},[718],[568,2458,2460],{"className":2459},[723,724,725,726],[568,2461,2463,2466],{"className":2462},[611,726],[568,2464,671],{"className":2465},[611,726],[568,2467,675],{"className":2468},[611,726],[568,2470,1152],{"className":2471},[866],[568,2473,751],{"className":2474,"style":774},[611,612],[568,2476,1161],{"className":2477},[941],[568,2479,2481],{"className":2480,"style":1424},[941,1423],[568,2482,1161],{"className":2483},[1428,1429],[568,2485],{"className":2486,"style":2487},[778],"margin-right:0.2222em;",[568,2489,2344],{"className":2490},[2491],"mbin",[568,2493],{"className":2494,"style":2487},[778],[568,2496,2498,2502,2583,2586,2589,2592,2595,2598,2601],{"className":2497},[602],[568,2499],{"className":2500,"style":2501},[606],"height:1.3418em;vertical-align:-0.35em;",[568,2503,2505,2555],{"className":2504},[1416],[568,2506,2508,2514,2549],{"className":2507},[1416],[568,2509,2511],{"className":2510,"style":1424},[866,1423],[568,2512,1152],{"className":2513},[1428,1429],[568,2515,2517,2520],{"className":2516},[611],[568,2518,589],{"className":2519,"style":613},[611,612],[568,2521,2523],{"className":2522},[698],[568,2524,2526],{"className":2525},[702],[568,2527,2529],{"className":2528},[706],[568,2530,2532],{"className":2531,"style":711},[710],[568,2533,2534,2537],{"style":714},[568,2535],{"className":2536,"style":719},[718],[568,2538,2540],{"className":2539},[723,724,725,726],[568,2541,2543,2546],{"className":2542},[611,726],[568,2544,671],{"className":2545},[611,726],[568,2547,675],{"className":2548},[611,726],[568,2550,2552],{"className":2551,"style":1424},[941,1423],[568,2553,1161],{"className":2554},[1428,1429],[568,2556,2558],{"className":2557},[698],[568,2559,2561],{"className":2560},[702],[568,2562,2564],{"className":2563},[706],[568,2565,2568],{"className":2566,"style":2567},[710],"height:0.9918em;",[568,2569,2571,2574],{"style":2570},"top:-3.3029em;margin-right:0.05em;",[568,2572],{"className":2573,"style":719},[718],[568,2575,2577],{"className":2576},[723,724,725,726],[568,2578,2580],{"className":2579},[611,726],[568,2581,1353],{"className":2582},[611,726],[568,2584],{"className":2585,"style":1504},[778],[568,2587,1152],{"className":2588},[866],[568,2590,751],{"className":2591,"style":774},[611,612],[568,2593,1161],{"className":2594},[941],[568,2596],{"className":2597,"style":779},[778],[568,2599,754],{"className":2600},[783],[568,2602],{"className":2603,"style":779},[778],[568,2605,2607,2610],{"className":2606},[602],[568,2608],{"className":2609,"style":1829},[606],[568,2611,675],{"className":2612},[611],". Man löst nach ",[568,2615,2617,2655],{"className":2616},[571],[568,2618,2620],{"className":2619},[575],[577,2621,2622],{"xmlns":579},[581,2623,2624,2652],{},[584,2625,2626,2646,2648,2650],{},[662,2627,2628,2644],{},[584,2629,2630,2632,2642],{},[669,2631,1152],{"fence":598},[662,2633,2634,2636],{},[587,2635,589],{},[584,2637,2638,2640],{},[669,2639,671],{},[673,2641,675],{},[669,2643,1161],{"fence":598},[669,2645,1353],{"mathvariant":1351,"lspace":1352,"rspace":1352},[669,2647,1152],{"stretchy":1151},[587,2649,751],{},[669,2651,1161],{"stretchy":1151},[591,2653,2654],{"encoding":593},"\\left(f^{-1}\\right)'(y)",[568,2656,2658],{"className":2657,"ariaHidden":598},[597],[568,2659,2661,2664,2743,2746,2749,2752],{"className":2660},[602],[568,2662],{"className":2663,"style":2501},[606],[568,2665,2667,2717],{"className":2666},[1416],[568,2668,2670,2676,2711],{"className":2669},[1416],[568,2671,2673],{"className":2672,"style":1424},[866,1423],[568,2674,1152],{"className":2675},[1428,1429],[568,2677,2679,2682],{"className":2678},[611],[568,2680,589],{"className":2681,"style":613},[611,612],[568,2683,2685],{"className":2684},[698],[568,2686,2688],{"className":2687},[702],[568,2689,2691],{"className":2690},[706],[568,2692,2694],{"className":2693,"style":711},[710],[568,2695,2696,2699],{"style":714},[568,2697],{"className":2698,"style":719},[718],[568,2700,2702],{"className":2701},[723,724,725,726],[568,2703,2705,2708],{"className":2704},[611,726],[568,2706,671],{"className":2707},[611,726],[568,2709,675],{"className":2710},[611,726],[568,2712,2714],{"className":2713,"style":1424},[941,1423],[568,2715,1161],{"className":2716},[1428,1429],[568,2718,2720],{"className":2719},[698],[568,2721,2723],{"className":2722},[702],[568,2724,2726],{"className":2725},[706],[568,2727,2729],{"className":2728,"style":2567},[710],[568,2730,2731,2734],{"style":2570},[568,2732],{"className":2733,"style":719},[718],[568,2735,2737],{"className":2736},[723,724,725,726],[568,2738,2740],{"className":2739},[611,726],[568,2741,1353],{"className":2742},[611,726],[568,2744],{"className":2745,"style":1504},[778],[568,2747,1152],{"className":2748},[866],[568,2750,751],{"className":2751,"style":774},[611,612],[568,2753,1161],{"className":2754},[941]," auf. Dass ",[568,2757,2759,2780],{"className":2758},[571],[568,2760,2762],{"className":2761},[575],[577,2763,2764],{"xmlns":579},[581,2765,2766,2778],{},[584,2767,2768],{},[662,2769,2770,2772],{},[587,2771,589],{},[584,2773,2774,2776],{},[669,2775,671],{},[673,2777,675],{},[591,2779,678],{"encoding":593},[568,2781,2783],{"className":2782,"ariaHidden":598},[597],[568,2784,2786,2789],{"className":2785},[602],[568,2787],{"className":2788,"style":688},[606],[568,2790,2792,2795],{"className":2791},[611],[568,2793,589],{"className":2794,"style":613},[611,612],[568,2796,2798],{"className":2797},[698],[568,2799,2801],{"className":2800},[702],[568,2802,2804],{"className":2803},[706],[568,2805,2807],{"className":2806,"style":711},[710],[568,2808,2809,2812],{"style":714},[568,2810],{"className":2811,"style":719},[718],[568,2813,2815],{"className":2814},[723,724,725,726],[568,2816,2818,2821],{"className":2817},[611,726],[568,2819,671],{"className":2820},[611,726],[568,2822,675],{"className":2823},[611,726]," überhaupt differenzierbar ist, folgt aus Stetigkeit, strenger Monotonie und ",[568,2826,2828,2861],{"className":2827},[571],[568,2829,2831],{"className":2830},[575],[577,2832,2833],{"xmlns":579},[581,2834,2835,2858],{},[584,2836,2837,2843,2845,2851,2853,2856],{},[662,2838,2839,2841],{},[587,2840,589],{},[669,2842,1353],{"mathvariant":1351,"lspace":1352,"rspace":1352},[669,2844,1152],{"stretchy":1151},[1028,2846,2847,2849],{},[587,2848,757],{},[673,2850,1034],{},[669,2852,1161],{"stretchy":1151},[669,2854,2855],{"mathvariant":1351},"≠",[673,2857,1034],{},[591,2859,2860],{"encoding":593},"f'(x_0) \\neq 0",[568,2862,2864,2997],{"className":2863,"ariaHidden":598},[597],[568,2865,2867,2870,2902,2905,2945,2948,2951,2994],{"className":2866},[602],[568,2868],{"className":2869,"style":1734},[606],[568,2871,2873,2876],{"className":2872},[611],[568,2874,589],{"className":2875,"style":613},[611,612],[568,2877,2879],{"className":2878},[698],[568,2880,2882],{"className":2881},[702],[568,2883,2885],{"className":2884},[706],[568,2886,2888],{"className":2887,"style":1753},[710],[568,2889,2890,2893],{"style":714},[568,2891],{"className":2892,"style":719},[718],[568,2894,2896],{"className":2895},[723,724,725,726],[568,2897,2899],{"className":2898},[611,726],[568,2900,1353],{"className":2901},[611,726],[568,2903,1152],{"className":2904},[866],[568,2906,2908,2911],{"className":2907},[611],[568,2909,757],{"className":2910},[611,612],[568,2912,2914],{"className":2913},[698],[568,2915,2917,2937],{"className":2916},[702,874],[568,2918,2920,2934],{"className":2919},[706],[568,2921,2923],{"className":2922,"style":1065},[710],[568,2924,2925,2928],{"style":1195},[568,2926],{"className":2927,"style":719},[718],[568,2929,2931],{"className":2930},[723,724,725,726],[568,2932,1034],{"className":2933},[611,726],[568,2935,928],{"className":2936},[927],[568,2938,2940],{"className":2939},[706],[568,2941,2943],{"className":2942,"style":1087},[710],[568,2944],{},[568,2946,1161],{"className":2947},[941],[568,2949],{"className":2950,"style":779},[778],[568,2952,2954,2987,2991],{"className":2953},[783],[568,2955,2957],{"className":2956},[783],[568,2958,2961],{"className":2959},[611,2960],"vbox",[568,2962,2965],{"className":2963},[2964],"thinbox",[568,2966,2969,2972,2983],{"className":2967},[2968],"rlap",[568,2970],{"className":2971,"style":607},[606],[568,2973,2976],{"className":2974},[2975],"inner",[568,2977,2979],{"className":2978},[611],[568,2980,2982],{"className":2981},[783],"",[568,2984],{"className":2985},[2986],"fix",[568,2988],{"className":2989},[778,2990],"nobreak",[568,2992,754],{"className":2993},[783],[568,2995],{"className":2996,"style":779},[778],[568,2998,3000,3003],{"className":2999},[602],[568,3001],{"className":3002,"style":1829},[606],[568,3004,1034],{"className":3005},[611],[559,3007,3009],{"id":3008},"beispiele","Beispiele",[564,3011,3012,3047,3048,3080,3081,3172],{},[568,3013,3015,3033],{"className":3014},[571],[568,3016,3018],{"className":3017},[575],[577,3019,3020],{"xmlns":579},[581,3021,3022,3030],{},[584,3023,3024,3027],{},[587,3025,3026],{},"ln",[669,3028,3029],{},"⁡",[591,3031,3032],{"encoding":593},"\\ln",[568,3034,3036],{"className":3035,"ariaHidden":598},[597],[568,3037,3039,3043],{"className":3038},[602],[568,3040],{"className":3041,"style":3042},[606],"height:0.6944em;",[568,3044,3026],{"className":3045},[3046],"mop"," ist die Umkehrfunktion von ",[568,3049,3051,3068],{"className":3050},[571],[568,3052,3054],{"className":3053},[575],[577,3055,3056],{"xmlns":579},[581,3057,3058,3065],{},[584,3059,3060,3063],{},[587,3061,3062],{},"exp",[669,3064,3029],{},[591,3066,3067],{"encoding":593},"\\exp",[568,3069,3071],{"className":3070,"ariaHidden":598},[597],[568,3072,3074,3077],{"className":3073},[602],[568,3075],{"className":3076,"style":770},[606],[568,3078,3062],{"className":3079},[3046],", und ",[568,3082,3084,3112],{"className":3083},[571],[568,3085,3087],{"className":3086},[575],[577,3088,3089],{"xmlns":579},[581,3090,3091,3109],{},[584,3092,3093,3103,3105,3107],{},[662,3094,3095,3101],{},[584,3096,3097,3099],{},[587,3098,3062],{},[669,3100,3029],{},[669,3102,1353],{"mathvariant":1351,"lspace":1352,"rspace":1352},[669,3104,754],{},[587,3106,3062],{},[669,3108,3029],{},[591,3110,3111],{"encoding":593},"\\exp' = \\exp",[568,3113,3115,3163],{"className":3114,"ariaHidden":598},[597],[568,3116,3118,3122,3154,3157,3160],{"className":3117},[602],[568,3119],{"className":3120,"style":3121},[606],"height:0.9463em;vertical-align:-0.1944em;",[568,3123,3125,3128],{"className":3124},[3046],[568,3126,3062],{"className":3127},[3046],[568,3129,3131],{"className":3130},[698],[568,3132,3134],{"className":3133},[702],[568,3135,3137],{"className":3136},[706],[568,3138,3140],{"className":3139,"style":1753},[710],[568,3141,3142,3145],{"style":714},[568,3143],{"className":3144,"style":719},[718],[568,3146,3148],{"className":3147},[723,724,725,726],[568,3149,3151],{"className":3150},[611,726],[568,3152,1353],{"className":3153},[611,726],[568,3155],{"className":3156,"style":779},[778],[568,3158,754],{"className":3159},[783],[568,3161],{"className":3162,"style":779},[778],[568,3164,3166,3169],{"className":3165},[602],[568,3167],{"className":3168,"style":770},[606],[568,3170,3062],{"className":3171},[3046],":",[568,3174,3176],{"className":3175},[1317],[568,3177,3179,3245],{"className":3178},[571],[568,3180,3182],{"className":3181},[575],[577,3183,3184],{"xmlns":579,"display":1326},[581,3185,3186,3242],{},[584,3187,3188,3190,3192,3194,3196,3202,3204,3221,3223,3229,3232,3235,3237,3240],{},[669,3189,1152],{"stretchy":1151},[587,3191,3026],{},[669,3193,3029],{},[587,3195,751],{},[662,3197,3198,3200],{},[669,3199,1161],{"stretchy":1151},[669,3201,1353],{"mathvariant":1351,"lspace":1352,"rspace":1352},[669,3203,754],{},[841,3205,3206,3208],{},[673,3207,675],{},[662,3209,3210,3213],{},[587,3211,3212],{},"e",[584,3214,3215,3217,3219],{},[587,3216,3026],{},[669,3218,3029],{},[587,3220,751],{},[669,3222,754],{},[841,3224,3225,3227],{},[673,3226,675],{},[587,3228,751],{},[669,3230,3231],{"separator":598},",",[778,3233],{"width":3234},"1em",[587,3236,751],{},[669,3238,3239],{},">",[673,3241,1034],{},[591,3243,3244],{"encoding":593},"(\\ln y)' = \\frac{1}{e^{\\ln y}} = \\frac{1}{y}, \\quad y > 0",[568,3246,3248,3309,3433,3526],{"className":3247,"ariaHidden":598},[597],[568,3249,3251,3255,3258,3261,3264,3267,3300,3303,3306],{"className":3250},[602],[568,3252],{"className":3253,"style":3254},[606],"height:1.0519em;vertical-align:-0.25em;",[568,3256,1152],{"className":3257},[866],[568,3259,3026],{"className":3260},[3046],[568,3262],{"className":3263,"style":1504},[778],[568,3265,751],{"className":3266,"style":774},[611,612],[568,3268,3270,3273],{"className":3269},[941],[568,3271,1161],{"className":3272},[941],[568,3274,3276],{"className":3275},[698],[568,3277,3279],{"className":3278},[702],[568,3280,3282],{"className":3281},[706],[568,3283,3286],{"className":3284,"style":3285},[710],"height:0.8019em;",[568,3287,3288,3291],{"style":1451},[568,3289],{"className":3290,"style":719},[718],[568,3292,3294],{"className":3293},[723,724,725,726],[568,3295,3297],{"className":3296},[611,726],[568,3298,1353],{"className":3299},[611,726],[568,3301],{"className":3302,"style":779},[778],[568,3304,754],{"className":3305},[783],[568,3307],{"className":3308,"style":779},[778],[568,3310,3312,3316,3424,3427,3430],{"className":3311},[602],[568,3313],{"className":3314,"style":3315},[606],"height:2.0074em;vertical-align:-0.686em;",[568,3317,3319,3322,3421],{"className":3318},[611],[568,3320],{"className":3321},[866,867],[568,3323,3325],{"className":3324},[841],[568,3326,3328,3412],{"className":3327},[702,874],[568,3329,3331,3409],{"className":3330},[706],[568,3332,3334,3390,3398],{"className":3333,"style":1548},[710],[568,3335,3336,3339],{"style":1551},[568,3337],{"className":3338,"style":888},[718],[568,3340,3342],{"className":3341},[611],[568,3343,3345,3348],{"className":3344},[611],[568,3346,3212],{"className":3347},[611,612],[568,3349,3351],{"className":3350},[698],[568,3352,3354],{"className":3353},[702],[568,3355,3357],{"className":3356},[706],[568,3358,3361],{"className":3359,"style":3360},[710],"height:0.7751em;",[568,3362,3363,3366],{"style":1579},[568,3364],{"className":3365,"style":719},[718],[568,3367,3369],{"className":3368},[723,724,725,726],[568,3370,3372,3383,3387],{"className":3371},[611,726],[568,3373,3375,3379],{"className":3374},[3046,726],[568,3376,3378],{"className":3377},[726],"l",[568,3380,3382],{"className":3381},[726],"n",[568,3384],{"className":3385,"style":3386},[778,726],"margin-right:0.1952em;",[568,3388,751],{"className":3389,"style":774},[611,612,726],[568,3391,3392,3395],{"style":900},[568,3393],{"className":3394,"style":888},[718],[568,3396],{"className":3397,"style":908},[907],[568,3399,3400,3403],{"style":1663},[568,3401],{"className":3402,"style":888},[718],[568,3404,3406],{"className":3405},[611],[568,3407,675],{"className":3408},[611],[568,3410,928],{"className":3411},[927],[568,3413,3415],{"className":3414},[706],[568,3416,3419],{"className":3417,"style":3418},[710],"height:0.686em;",[568,3420],{},[568,3422],{"className":3423},[941,867],[568,3425],{"className":3426,"style":779},[778],[568,3428,754],{"className":3429},[783],[568,3431],{"className":3432,"style":779},[778],[568,3434,3436,3440,3503,3507,3511,3514,3517,3520,3523],{"className":3435},[602],[568,3437],{"className":3438,"style":3439},[606],"height:2.2019em;vertical-align:-0.8804em;",[568,3441,3443,3446,3500],{"className":3442},[611],[568,3444],{"className":3445},[866,867],[568,3447,3449],{"className":3448},[841],[568,3450,3452,3491],{"className":3451},[702,874],[568,3453,3455,3488],{"className":3454},[706],[568,3456,3458,3469,3477],{"className":3457,"style":1548},[710],[568,3459,3460,3463],{"style":1551},[568,3461],{"className":3462,"style":888},[718],[568,3464,3466],{"className":3465},[611],[568,3467,751],{"className":3468,"style":774},[611,612],[568,3470,3471,3474],{"style":900},[568,3472],{"className":3473,"style":888},[718],[568,3475],{"className":3476,"style":908},[907],[568,3478,3479,3482],{"style":1663},[568,3480],{"className":3481,"style":888},[718],[568,3483,3485],{"className":3484},[611],[568,3486,675],{"className":3487},[611],[568,3489,928],{"className":3490},[927],[568,3492,3494],{"className":3493},[706],[568,3495,3498],{"className":3496,"style":3497},[710],"height:0.8804em;",[568,3499],{},[568,3501],{"className":3502},[941,867],[568,3504,3231],{"className":3505},[3506],"mpunct",[568,3508],{"className":3509,"style":3510},[778],"margin-right:1em;",[568,3512],{"className":3513,"style":1504},[778],[568,3515,751],{"className":3516,"style":774},[611,612],[568,3518],{"className":3519,"style":779},[778],[568,3521,3239],{"className":3522},[783],[568,3524],{"className":3525,"style":779},[778],[568,3527,3529,3532],{"className":3528},[602],[568,3530],{"className":3531,"style":1829},[606],[568,3533,1034],{"className":3534},[611],[564,3536,3537,3047,3570,3602,3603,3812,3813,3877,3878,3172],{},[568,3538,3540,3557],{"className":3539},[571],[568,3541,3543],{"className":3542},[575],[577,3544,3545],{"xmlns":579},[581,3546,3547,3554],{},[584,3548,3549,3552],{},[587,3550,3551],{},"arcsin",[669,3553,3029],{},[591,3555,3556],{"encoding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auf ",[568,3604,3606,3642],{"className":3605},[571],[568,3607,3609],{"className":3608},[575],[577,3610,3611],{"xmlns":579},[581,3612,3613,3639],{},[584,3614,3615,3618,3620,3628,3630,3636],{},[669,3616,3617],{"fence":598},"[",[669,3619,671],{},[841,3621,3622,3625],{},[587,3623,3624],{},"π",[673,3626,3627],{},"2",[669,3629,3231],{"separator":598},[841,3631,3632,3634],{},[587,3633,3624],{},[673,3635,3627],{},[669,3637,3638],{"fence":598},"]",[591,3640,3641],{"encoding":593},"\\left[-\\frac{\\pi}{2}, \\frac{\\pi}{2}\\right]",[568,3643,3645],{"className":3644,"ariaHidden":598},[597],[568,3646,3648,3651],{"className":3647},[602],[568,3649],{"className":3650,"style":2212},[606],[568,3652,3654,3660,3663,3732,3735,3738,3806],{"className":3653},[1416],[568,3655,3657],{"className":3656,"style":1424},[866,1423],[568,3658,3617],{"className":3659},[1428,1429],[568,3661,671],{"className":3662},[611],[568,3664,3666,3669,3729],{"className":3665},[611],[568,3667],{"className":3668},[866,867],[568,3670,3672],{"className":3671},[841],[568,3673,3675,3721],{"className":3674},[702,874],[568,3676,3678,3718],{"className":3677},[706],[568,3679,3682,3696,3704],{"className":3680,"style":3681},[710],"height:0.6954em;",[568,3683,3684,3687],{"style":884},[568,3685],{"className":3686,"style":888},[718],[568,3688,3690],{"className":3689},[723,724,725,726],[568,3691,3693],{"className":3692},[611,726],[568,3694,3627],{"className":3695},[611,726],[568,3697,3698,3701],{"style":900},[568,3699],{"className":3700,"style":888},[718],[568,3702],{"className":3703,"style":908},[907],[568,3705,3706,3709],{"style":911},[568,3707],{"className":3708,"style":888},[718],[568,3710,3712],{"className":3711},[723,724,725,726],[568,3713,3715],{"className":3714},[611,726],[568,3716,3624],{"className":3717,"style":774},[611,612,726],[568,3719,928],{"className":3720},[927],[568,3722,3724],{"className":3723},[706],[568,3725,3727],{"className":3726,"style":935},[710],[568,3728],{},[568,3730],{"className":3731},[941,867],[568,3733,3231],{"className":3734},[3506],[568,3736],{"className":3737,"style":1504},[778],[568,3739,3741,3744,3803],{"className":3740},[611],[568,3742],{"className":3743},[866,867],[568,3745,3747],{"className":3746},[841],[568,3748,3750,3795],{"className":3749},[702,874],[568,3751,3753,3792],{"className":3752},[706],[568,3754,3756,3770,3778],{"className":3755,"style":3681},[710],[568,3757,3758,3761],{"style":884},[568,3759],{"className":3760,"style":888},[718],[568,3762,3764],{"className":3763},[723,724,725,726],[568,3765,3767],{"className":3766},[611,726],[568,3768,3627],{"className":3769},[611,726],[568,3771,3772,3775],{"style":900},[568,3773],{"className":3774,"style":888},[718],[568,3776],{"className":3777,"style":908},[907],[568,3779,3780,3783],{"style":911},[568,3781],{"className":3782,"style":888},[718],[568,3784,3786],{"className":3785},[723,724,725,726],[568,3787,3789],{"className":3788},[611,726],[568,3790,3624],{"className":3791,"style":774},[611,612,726],[568,3793,928],{"className":3794},[927],[568,3796,3798],{"className":3797},[706],[568,3799,3801],{"className":3800,"style":935},[710],[568,3802],{},[568,3804],{"className":3805},[941,867],[568,3807,3809],{"className":3808,"style":1424},[941,1423],[568,3810,3638],{"className":3811},[1428,1429],". Dort ist ",[568,3814,3816,3840],{"className":3815},[571],[568,3817,3819],{"className":3818},[575],[577,3820,3821],{"xmlns":579},[581,3822,3823,3837],{},[584,3824,3825,3828,3830,3832,3835],{},[587,3826,3827],{},"cos",[669,3829,3029],{},[587,3831,757],{},[669,3833,3834],{},"≥",[673,3836,1034],{},[591,3838,3839],{"encoding":593},"\\cos x \\geq 0",[568,3841,3843,3868],{"className":3842,"ariaHidden":598},[597],[568,3844,3846,3850,3853,3856,3859,3862,3865],{"className":3845},[602],[568,3847],{"className":3848,"style":3849},[606],"height:0.7719em;vertical-align:-0.136em;",[568,3851,3827],{"className":3852},[3046],[568,3854],{"className":3855,"style":1504},[778],[568,3857,757],{"className":3858},[611,612],[568,3860],{"className":3861,"style":779},[778],[568,3863,3834],{"className":3864},[783],[568,3866],{"className":3867,"style":779},[778],[568,3869,3871,3874],{"className":3870},[602],[568,3872],{"className":3873,"style":1829},[606],[568,3875,1034],{"className":3876},[611],", also ",[568,3879,3881,3924],{"className":3880},[571],[568,3882,3884],{"className":3883},[575],[577,3885,3886],{"xmlns":579},[581,3887,3888,3921],{},[584,3889,3890,3892,3894,3896,3898,3900,3902,3904,3906],{},[587,3891,3827],{},[669,3893,3029],{},[669,3895,1152],{"stretchy":1151},[587,3897,3551],{},[669,3899,3029],{},[587,3901,751],{},[669,3903,1161],{"stretchy":1151},[669,3905,754],{},[3907,3908,3909],"msqrt",{},[584,3910,3911,3913,3915],{},[673,3912,675],{},[669,3914,671],{},[662,3916,3917,3919],{},[587,3918,751],{},[673,3920,3627],{},[591,3922,3923],{"encoding":593},"\\cos(\\arcsin y) = \\sqrt{1 - y^2}",[568,3925,3927,3961],{"className":3926,"ariaHidden":598},[597],[568,3928,3930,3934,3937,3940,3943,3946,3949,3952,3955,3958],{"className":3929},[602],[568,3931],{"className":3932,"style":3933},[606],"height:1em;vertical-align:-0.25em;",[568,3935,3827],{"className":3936},[3046],[568,3938,1152],{"className":3939},[866],[568,3941,3551],{"className":3942},[3046],[568,3944],{"className":3945,"style":1504},[778],[568,3947,751],{"className":3948,"style":774},[611,612],[568,3950,1161],{"className":3951},[941],[568,3953],{"className":3954,"style":779},[778],[568,3956,754],{"className":3957},[783],[568,3959],{"className":3960,"style":779},[778],[568,3962,3964,3968],{"className":3963},[602],[568,3965],{"className":3966,"style":3967},[606],"height:1.24em;vertical-align:-0.2822em;",[568,3969,3971],{"className":3970},[611,2008],[568,3972,3974,4054],{"className":3973},[702,874],[568,3975,3977,4051],{"className":3976},[706],[568,3978,3981,4034],{"className":3979,"style":3980},[710],"height:0.9578em;",[568,3982,3985,3989],{"className":3983,"style":3984},[2052],"top:-3.2em;",[568,3986],{"className":3987,"style":3988},[718],"height:3.2em;",[568,3990,3993,3996,3999,4002,4005],{"className":3991,"style":3992},[611],"padding-left:1em;",[568,3994,675],{"className":3995},[611],[568,3997],{"className":3998,"style":2487},[778],[568,4000,671],{"className":4001},[2491],[568,4003],{"className":4004,"style":2487},[778],[568,4006,4008,4011],{"className":4007},[611],[568,4009,751],{"className":4010,"style":774},[611,612],[568,4012,4014],{"className":4013},[698],[568,4015,4017],{"className":4016},[702],[568,4018,4020],{"className":4019},[706],[568,4021,4023],{"className":4022,"style":1623},[710],[568,4024,4025,4028],{"style":1579},[568,4026],{"className":4027,"style":719},[718],[568,4029,4031],{"className":4030},[723,724,725,726],[568,4032,3627],{"className":4033},[611,726],[568,4035,4037,4040],{"style":4036},"top:-2.9178em;",[568,4038],{"className":4039,"style":3988},[718],[568,4041,4044],{"className":4042,"style":4043},[2073],"min-width:1.02em;height:1.28em;",[2076,4045,4048],{"xmlns":2078,"width":2079,"height":4046,"viewBox":4047,"preserveAspectRatio":2082},"1.28em","0 0 400000 1296",[2084,4049],{"d":4050},"M263,681c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl0 -0\nc4.7,-7.3,11,-11,19,-11\nH40000v40H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM1001 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\\tan^2",[568,4828,4830,4879,4898],{"className":4829,"ariaHidden":598},[597],[568,4831,4833,4837,4870,4873,4876],{"className":4832},[602],[568,4834],{"className":4835,"style":4836},[606],"height:0.7569em;",[568,4838,4840,4843],{"className":4839},[3046],[568,4841,4562],{"className":4842},[3046],[568,4844,4846],{"className":4845},[698],[568,4847,4849],{"className":4848},[702],[568,4850,4852],{"className":4851},[706],[568,4853,4855],{"className":4854,"style":4836},[710],[568,4856,4858,4861],{"style":4857},"top:-3.068em;margin-right:0.05em;",[568,4859],{"className":4860,"style":719},[718],[568,4862,4864],{"className":4863},[723,724,725,726],[568,4865,4867],{"className":4866},[611,726],[568,4868,1353],{"className":4869},[611,726],[568,4871],{"className":4872,"style":779},[778],[568,4874,754],{"className":4875},[783],[568,4877],{"className":4878,"style":779},[778],[568,4880,4882,4886,4889,4892,4895],{"className":4881},[602],[568,4883],{"className":4884,"style":4885},[606],"height:0.7278em;vertical-align:-0.0833em;",[568,4887,675],{"className":4888},[611],[568,4890],{"className":4891,"style":2487},[778],[568,4893,4813],{"className":4894},[2491],[568,4896],{"className":4897,"style":2487},[778],[568,4899,4901,4905],{"className":4900},[602],[568,4902],{"className":4903,"style":4904},[606],"height:0.8191em;",[568,4906,4908,4911],{"className":4907},[3046],[568,4909,4562],{"className":4910},[3046],[568,4912,4914],{"className":4913},[698],[568,4915,4917],{"className":4916},[702],[568,4918,4920],{"className":4919},[706],[568,4921,4923],{"className":4922,"style":4904},[710],[568,4924,4925,4928],{"style":4857},[568,4926],{"className":4927,"style":719},[718],[568,4929,4931],{"className":4930},[723,724,725,726],[568,4932,3627],{"className":4933},[611,726],[568,4935,4937],{"className":4936},[1317],[568,4938,4940,5016],{"className":4939},[571],[568,4941,4943],{"className":4942},[575],[577,4944,4945],{"xmlns":579,"display":1326},[581,4946,4947,5013],{},[584,4948,4949,4951,4953,4955,4957,4963,4965,4995,4997],{},[669,4950,1152],{"stretchy":1151},[587,4952,4529],{},[669,4954,3029],{},[587,4956,751],{},[662,4958,4959,4961],{},[669,4960,1161],{"stretchy":1151},[669,4962,1353],{"mathvariant":1351,"lspace":1352,"rspace":1352},[669,4964,754],{},[841,4966,4967,4969],{},[673,4968,675],{},[584,4970,4971,4973,4975,4985,4987,4989,4991,4993],{},[673,4972,675],{},[669,4974,4813],{},[662,4976,4977,4983],{},[584,4978,4979,4981],{},[587,4980,4562],{},[669,4982,3029],{},[673,4984,3627],{},[669,4986,1152],{"stretchy":1151},[587,4988,4529],{},[669,4990,3029],{},[587,4992,751],{},[669,4994,1161],{"stretchy":1151},[669,4996,754],{},[841,4998,4999,5001],{},[673,5000,675],{},[584,5002,5003,5005,5007],{},[673,5004,675],{},[669,5006,4813],{},[662,5008,5009,5011],{},[587,5010,751],{},[673,5012,3627],{},[591,5014,5015],{"encoding":593},"(\\arctan y)' = \\frac{1}{1 + \\tan^2(\\arctan y)} = \\frac{1}{1 + y^2}",[568,5017,5019,5078,5211],{"className":5018,"ariaHidden":598},[597],[568,5020,5022,5025,5028,5031,5034,5037,5069,5072,5075],{"className":5021},[602],[568,5023],{"className":5024,"style":3254},[606],[568,5026,1152],{"className":5027},[866],[568,5029,4529],{"className":5030},[3046],[568,5032],{"className":5033,"style":1504},[778],[568,5035,751],{"className":5036,"style":774},[611,612],[568,5038,5040,5043],{"className":5039},[941],[568,5041,1161],{"className":5042},[941],[568,5044,5046],{"className":5045},[698],[568,5047,5049],{"className":5048},[702],[568,5050,5052],{"className":5051},[706],[568,5053,5055],{"className":5054,"style":3285},[710],[568,5056,5057,5060],{"style":1451},[568,5058],{"className":5059,"style":719},[718],[568,5061,5063],{"className":5062},[723,724,725,726],[568,5064,5066],{"className":5065},[611,726],[568,5067,1353],{"className":5068},[611,726],[568,5070],{"className":5071,"style":779},[778],[568,5073,754],{"className":5074},[783],[568,5076],{"className":5077,"style":779},[778],[568,5079,5081,5085,5202,5205,5208],{"className":5080},[602],[568,5082],{"className":5083,"style":5084},[606],"height:2.2805em;vertical-align:-0.9591em;",[568,5086,5088,5091,5199],{"className":5087},[611],[568,5089],{"className":5090},[866,867],[568,5092,5094],{"className":5093},[841],[568,5095,5097,5190],{"className":5096},[702,874],[568,5098,5100,5187],{"className":5099},[706],[568,5101,5103,5168,5176],{"className":5102,"style":1548},[710],[568,5104,5106,5109],{"style":5105},"top:-2.2909em;",[568,5107],{"className":5108,"style":888},[718],[568,5110,5112,5115,5118,5121,5124,5153,5156,5159,5162,5165],{"className":5111},[611],[568,5113,675],{"className":5114},[611],[568,5116],{"className":5117,"style":2487},[778],[568,5119,4813],{"className":5120},[2491],[568,5122],{"className":5123,"style":2487},[778],[568,5125,5127,5130],{"className":5126},[3046],[568,5128,4562],{"className":5129},[3046],[568,5131,5133],{"className":5132},[698],[568,5134,5136],{"className":5135},[702],[568,5137,5139],{"className":5138},[706],[568,5140,5142],{"className":5141,"style":4904},[710],[568,5143,5144,5147],{"style":4857},[568,5145],{"className":5146,"style":719},[718],[568,5148,5150],{"className":5149},[723,724,725,726],[568,5151,3627],{"className":5152},[611,726],[568,5154,1152],{"className":5155},[866],[568,5157,4529],{"className":5158},[3046],[568,5160],{"className":5161,"style":1504},[778],[568,5163,751],{"className":5164,"style":774},[611,612],[568,5166,1161],{"className":5167},[941],[568,5169,5170,5173],{"style":900},[568,5171],{"className":5172,"style":888},[718],[568,5174],{"className":5175,"style":908},[907],[568,5177,5178,5181],{"style":1663},[568,5179],{"className":5180,"style":888},[718],[568,5182,5184],{"className":5183},[611],[568,5185,675],{"className":5186},[611],[568,5188,928],{"className":5189},[927],[568,5191,5193],{"className":5192},[706],[568,5194,5197],{"className":5195,"style":5196},[710],"height:0.9591em;",[568,5198],{},[568,5200],{"className":5201},[941,867],[568,5203],{"className":5204,"style":779},[778],[568,5206,754],{"className":5207},[783],[568,5209],{"className":5210,"style":779},[778],[568,5212,5214,5217],{"className":5213},[602],[568,5215],{"className":5216,"style":3439},[606],[568,5218,5220,5223,5314],{"className":5219},[611],[568,5221],{"className":5222},[866,867],[568,5224,5226],{"className":5225},[841],[568,5227,5229,5306],{"className":5228},[702,874],[568,5230,5232,5303],{"className":5231},[706],[568,5233,5235,5284,5292],{"className":5234,"style":1548},[710],[568,5236,5237,5240],{"style":1551},[568,5238],{"className":5239,"style":888},[718],[568,5241,5243,5246,5249,5252,5255],{"className":5242},[611],[568,5244,675],{"className":5245},[611],[568,5247],{"className":5248,"style":2487},[778],[568,5250,4813],{"className":5251},[2491],[568,5253],{"className":5254,"style":2487},[778],[568,5256,5258,5261],{"className":5257},[611],[568,5259,751],{"className":5260,"style":774},[611,612],[568,5262,5264],{"className":5263},[698],[568,5265,5267],{"className":5266},[702],[568,5268,5270],{"className":5269},[706],[568,5271,5273],{"className":5272,"style":1623},[710],[568,5274,5275,5278],{"style":1579},[568,5276],{"className":5277,"style":719},[718],[568,5279,5281],{"className":5280},[723,724,725,726],[568,5282,3627],{"className":5283},[611,726],[568,5285,5286,5289],{"style":900},[568,5287],{"className":5288,"style":888},[718],[568,5290],{"className":5291,"style":908},[907],[568,5293,5294,5297],{"style":1663},[568,5295],{"className":5296,"style":888},[718],[568,5298,5300],{"className":5299},[611],[568,5301,675],{"className":5302},[611],[568,5304,928],{"className":5305},[927],[568,5307,5309],{"className":5308},[706],[568,5310,5312],{"className":5311,"style":3497},[710],[568,5313],{},[568,5315],{"className":5316},[941,867],[564,5318,5319,5320,5439,5440,5506,5507,5607],{},"Ohne Formel für die Umkehrfunktion: ",[568,5321,5323,5355],{"className":5322},[571],[568,5324,5326],{"className":5325},[575],[577,5327,5328],{"xmlns":579},[581,5329,5330,5352],{},[584,5331,5332,5334,5336,5338,5340,5342,5348,5350],{},[587,5333,589],{},[669,5335,1152],{"stretchy":1151},[587,5337,757],{},[669,5339,1161],{"stretchy":1151},[669,5341,754],{},[662,5343,5344,5346],{},[587,5345,757],{},[673,5347,1991],{},[669,5349,4813],{},[587,5351,757],{},[591,5353,5354],{"encoding":593},"f(x) = x^3 + x",[568,5356,5358,5385,5430],{"className":5357,"ariaHidden":598},[597],[568,5359,5361,5364,5367,5370,5373,5376,5379,5382],{"className":5360},[602],[568,5362],{"className":5363,"style":3933},[606],[568,5365,589],{"className":5366,"style":613},[611,612],[568,5368,1152],{"className":5369},[866],[568,5371,757],{"className":5372},[611,612],[568,5374,1161],{"className":5375},[941],[568,5377],{"className":5378,"style":779},[778],[568,5380,754],{"className":5381},[783],[568,5383],{"className":5384,"style":779},[778],[568,5386,5388,5392,5421,5424,5427],{"className":5387},[602],[568,5389],{"className":5390,"style":5391},[606],"height:0.8974em;vertical-align:-0.0833em;",[568,5393,5395,5398],{"className":5394},[611],[568,5396,757],{"className":5397},[611,612],[568,5399,5401],{"className":5400},[698],[568,5402,5404],{"className":5403},[702],[568,5405,5407],{"className":5406},[706],[568,5408,5410],{"className":5409,"style":711},[710],[568,5411,5412,5415],{"style":714},[568,5413],{"className":5414,"style":719},[718],[568,5416,5418],{"className":5417},[723,724,725,726],[568,5419,1991],{"className":5420},[611,726],[568,5422],{"className":5423,"style":2487},[778],[568,5425,4813],{"className":5426},[2491],[568,5428],{"className":5429,"style":2487},[778],[568,5431,5433,5436],{"className":5432},[602],[568,5434],{"className":5435,"style":793},[606],[568,5437,757],{"className":5438},[611,612]," ist streng monoton wachsend, ",[568,5441,5443,5467],{"className":5442},[571],[568,5444,5446],{"className":5445},[575],[577,5447,5448],{"xmlns":579},[581,5449,5450,5464],{},[584,5451,5452,5454,5456,5458,5460,5462],{},[587,5453,589],{},[669,5455,1152],{"stretchy":1151},[673,5457,675],{},[669,5459,1161],{"stretchy":1151},[669,5461,754],{},[673,5463,3627],{},[591,5465,5466],{"encoding":593},"f(1) = 2",[568,5468,5470,5497],{"className":5469,"ariaHidden":598},[597],[568,5471,5473,5476,5479,5482,5485,5488,5491,5494],{"className":5472},[602],[568,5474],{"className":5475,"style":3933},[606],[568,5477,589],{"className":5478,"style":613},[611,612],[568,5480,1152],{"className":5481},[866],[568,5483,675],{"className":5484},[611],[568,5486,1161],{"className":5487},[941],[568,5489],{"className":5490,"style":779},[778],[568,5492,754],{"className":5493},[783],[568,5495],{"className":5496,"style":779},[778],[568,5498,5500,5503],{"className":5499},[602],[568,5501],{"className":5502,"style":1829},[606],[568,5504,3627],{"className":5505},[611]," und ",[568,5508,5510,5539],{"className":5509},[571],[568,5511,5513],{"className":5512},[575],[577,5514,5515],{"xmlns":579},[581,5516,5517,5536],{},[584,5518,5519,5525,5527,5529,5531,5533],{},[662,5520,5521,5523],{},[587,5522,589],{},[669,5524,1353],{"mathvariant":1351,"lspace":1352,"rspace":1352},[669,5526,1152],{"stretchy":1151},[673,5528,675],{},[669,5530,1161],{"stretchy":1151},[669,5532,754],{},[673,5534,5535],{},"4",[591,5537,5538],{"encoding":593},"f'(1) = 4",[568,5540,5542,5598],{"className":5541,"ariaHidden":598},[597],[568,5543,5545,5548,5580,5583,5586,5589,5592,5595],{"className":5544},[602],[568,5546],{"className":5547,"style":1734},[606],[568,5549,5551,5554],{"className":5550},[611],[568,5552,589],{"className":5553,"style":613},[611,612],[568,5555,5557],{"className":5556},[698],[568,5558,5560],{"className":5559},[702],[568,5561,5563],{"className":5562},[706],[568,5564,5566],{"className":5565,"style":1753},[710],[568,5567,5568,5571],{"style":714},[568,5569],{"className":5570,"style":719},[718],[568,5572,5574],{"className":5573},[723,724,725,726],[568,5575,5577],{"className":5576},[611,726],[568,5578,1353],{"className":5579},[611,726],[568,5581,1152],{"className":5582},[866],[568,5584,675],{"className":5585},[611],[568,5587,1161],{"className":5588},[941],[568,5590],{"className":5591,"style":779},[778],[568,5593,754],{"className":5594},[783],[568,5596],{"className":5597,"style":779},[778],[568,5599,5601,5604],{"className":5600},[602],[568,5602],{"className":5603,"style":1829},[606],[568,5605,5535],{"className":5606},[611],". Also gilt",[568,5609,5611],{"className":5610},[1317],[568,5612,5614,5660],{"className":5613},[571],[568,5615,5617],{"className":5616},[575],[577,5618,5619],{"xmlns":579,"display":1326},[581,5620,5621,5657],{},[584,5622,5623,5643,5645,5647,5649,5651],{},[662,5624,5625,5641],{},[584,5626,5627,5629,5639],{},[669,5628,1152],{"fence":598},[662,5630,5631,5633],{},[587,5632,589],{},[584,5634,5635,5637],{},[669,5636,671],{},[673,5638,675],{},[669,5640,1161],{"fence":598},[669,5642,1353],{"mathvariant":1351,"lspace":1352,"rspace":1352},[669,5644,1152],{"stretchy":1151},[673,5646,3627],{},[669,5648,1161],{"stretchy":1151},[669,5650,754],{},[841,5652,5653,5655],{},[673,5654,675],{},[673,5656,5535],{},[591,5658,5659],{"encoding":593},"\\left(f^{-1}\\right)'(2) = \\frac{1}{4}",[568,5661,5663,5769],{"className":5662,"ariaHidden":598},[597],[568,5664,5666,5669,5748,5751,5754,5757,5760,5763,5766],{"className":5665},[602],[568,5667],{"className":5668,"style":1412},[606],[568,5670,5672,5722],{"className":5671},[1416],[568,5673,5675,5681,5716],{"className":5674},[1416],[568,5676,5678],{"className":5677,"style":1424},[866,1423],[568,5679,1152],{"className":5680},[1428,1429],[568,5682,5684,5687],{"className":5683},[611],[568,5685,589],{"className":5686,"style":613},[611,612],[568,5688,5690],{"className":5689},[698],[568,5691,5693],{"className":5692},[702],[568,5694,5696],{"className":5695},[706],[568,5697,5699],{"className":5698,"style":1448},[710],[568,5700,5701,5704],{"style":1451},[568,5702],{"className":5703,"style":719},[718],[568,5705,5707],{"className":5706},[723,724,725,726],[568,5708,5710,5713],{"className":5709},[611,726],[568,5711,671],{"className":5712},[611,726],[568,5714,675],{"className":5715},[611,726],[568,5717,5719],{"className":5718,"style":1424},[941,1423],[568,5720,1161],{"className":5721},[1428,1429],[568,5723,5725],{"className":5724},[698],[568,5726,5728],{"className":5727},[702],[568,5729,5731],{"className":5730},[706],[568,5732,5734],{"className":5733,"style":1485},[710],[568,5735,5736,5739],{"style":1488},[568,5737],{"className":5738,"style":719},[718],[568,5740,5742],{"className":5741},[723,724,725,726],[568,5743,5745],{"className":5744},[611,726],[568,5746,1353],{"className":5747},[611,726],[568,5749],{"className":5750,"style":1504},[778],[568,5752,1152],{"className":5753},[866],[568,5755,3627],{"className":5756},[611],[568,5758,1161],{"className":5759},[941],[568,5761],{"className":5762,"style":779},[778],[568,5764,754],{"className":5765},[783],[568,5767],{"className":5768,"style":779},[778],[568,5770,5772,5775],{"className":5771},[602],[568,5773],{"className":5774,"style":3315},[606],[568,5776,5778,5781,5834],{"className":5777},[611],[568,5779],{"className":5780},[866,867],[568,5782,5784],{"className":5783},[841],[568,5785,5787,5826],{"className":5786},[702,874],[568,5788,5790,5823],{"className":5789},[706],[568,5791,5793,5804,5812],{"className":5792,"style":1548},[710],[568,5794,5795,5798],{"style":1551},[568,5796],{"className":5797,"style":888},[718],[568,5799,5801],{"className":5800},[611],[568,5802,5535],{"className":5803},[611],[568,5805,5806,5809],{"style":900},[568,5807],{"className":5808,"style":888},[718],[568,5810],{"className":5811,"style":908},[907],[568,5813,5814,5817],{"style":1663},[568,5815],{"className":5816,"style":888},[718],[568,5818,5820],{"className":5819},[611],[568,5821,675],{"className":5822},[611],[568,5824,928],{"className":5825},[927],[568,5827,5829],{"className":5828},[706],[568,5830,5832],{"className":5831,"style":3418},[710],[568,5833],{},[568,5835],{"className":5836},[941,867],[559,5838,5840],{"id":5839},"typische-fehler","Typische Fehler",[5842,5843,5844,6560,6732],"ul",{},[5845,5846,5847,5848,6220,6221,6461,6462,942],"li",{},"An der falschen Stelle ableiten: ",[568,5849,5851,5917],{"className":5850},[571],[568,5852,5854],{"className":5853},[575],[577,5855,5856],{"xmlns":579},[581,5857,5858,5914],{},[584,5859,5860,5880,5882,5888,5890,5892],{},[662,5861,5862,5878],{},[584,5863,5864,5866,5876],{},[669,5865,1152],{"fence":598},[662,5867,5868,5870],{},[587,5869,589],{},[584,5871,5872,5874],{},[669,5873,671],{},[673,5875,675],{},[669,5877,1161],{"fence":598},[669,5879,1353],{"mathvariant":1351,"lspace":1352,"rspace":1352},[669,5881,1152],{"stretchy":1151},[1028,5883,5884,5886],{},[587,5885,751],{},[673,5887,1034],{},[669,5889,1161],{"stretchy":1151},[669,5891,754],{},[841,5893,5894,5896],{},[673,5895,675],{},[584,5897,5898,5904,5906,5912],{},[662,5899,5900,5902],{},[587,5901,589],{},[669,5903,1353],{"mathvariant":1351,"lspace":1352,"rspace":1352},[669,5905,1152],{"stretchy":1151},[1028,5907,5908,5910],{},[587,5909,751],{},[673,5911,1034],{},[669,5913,1161],{"stretchy":1151},[591,5915,5916],{"encoding":593},"\\left(f^{-1}\\right)'(y_0) = 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ist falsch. Im Beispiel wäre ",[568,6222,6224,6263],{"className":6223},[571],[568,6225,6227],{"className":6226},[575],[577,6228,6229],{"xmlns":579},[581,6230,6231,6260],{},[584,6232,6233,6251,6253],{},[841,6234,6235,6237],{},[673,6236,675],{},[584,6238,6239,6245,6247,6249],{},[662,6240,6241,6243],{},[587,6242,589],{},[669,6244,1353],{"mathvariant":1351,"lspace":1352,"rspace":1352},[669,6246,1152],{"stretchy":1151},[673,6248,3627],{},[669,6250,1161],{"stretchy":1151},[669,6252,754],{},[841,6254,6255,6257],{},[673,6256,675],{},[673,6258,6259],{},"13",[591,6261,6262],{"encoding":593},"\\frac{1}{f'(2)} = \\frac{1}{13}",[568,6264,6266,6387],{"className":6265,"ariaHidden":598},[597],[568,6267,6269,6272,6378,6381,6384],{"className":6268},[602],[568,6270],{"className":6271,"style":6069},[606],[568,6273,6275,6278,6375],{"className":6274},[611],[568,6276],{"className":6277},[866,867],[568,6279,6281],{"className":6280},[841],[568,6282,6284,6367],{"className":6283},[702,874],[568,6285,6287,6364],{"className":6286},[706],[568,6288,6290,6342,6350],{"className":6289,"style":881},[710],[568,6291,6292,6295],{"style":884},[568,6293],{"className":6294,"style":888},[718],[568,6296,6298],{"className":6297},[723,724,725,726],[568,6299,6301,6333,6336,6339],{"className":6300},[611,726],[568,6302,6304,6307],{"className":6303},[611,726],[568,6305,589],{"className":6306,"style":613},[611,612,726],[568,6308,6310],{"className":6309},[698],[568,6311,6313],{"className":6312},[702],[568,6314,6316],{"className":6315},[706],[568,6317,6319],{"className":6318,"style":6117},[710],[568,6320,6321,6324],{"style":6120},[568,6322],{"className":6323,"style":2029},[718],[568,6325,6327],{"className":6326},[723,6127,1429,726],[568,6328,6330],{"className":6329},[611,726],[568,6331,1353],{"className":6332},[611,726],[568,6334,1152],{"className":6335},[866,726],[568,6337,3627],{"className":6338},[611,726],[568,6340,1161],{"className":6341},[941,726],[568,6343,6344,6347],{"style":900},[568,6345],{"className":6346,"style":888},[718],[568,6348],{"className":6349,"style":908},[907],[568,6351,6352,6355],{"style":911},[568,6353],{"className":6354,"style":888},[718],[568,6356,6358],{"className":6357},[723,724,725,726],[568,6359,6361],{"className":6360},[611,726],[568,6362,675],{"className":6363},[611,726],[568,6365,928],{"className":6366},[927],[568,6368,6370],{"className":6369},[706],[568,6371,6373],{"className":6372,"style":6214},[710],[568,6374],{},[568,6376],{"className":6377},[941,867],[568,6379],{"className":6380,"style":779},[778],[568,6382,754],{"className":6383},[783],[568,6385],{"className":6386,"style":779},[778],[568,6388,6390,6393],{"className":6389},[602],[568,6391],{"className":6392,"style":859},[606],[568,6394,6396,6399,6458],{"className":6395},[611],[568,6397],{"className":6398},[866,867],[568,6400,6402],{"className":6401},[841],[568,6403,6405,6450],{"className":6404},[702,874],[568,6406,6408,6447],{"className":6407},[706],[568,6409,6411,6425,6433],{"className":6410,"style":881},[710],[568,6412,6413,6416],{"style":884},[568,6414],{"className":6415,"style":888},[718],[568,6417,6419],{"className":6418},[723,724,725,726],[568,6420,6422],{"className":6421},[611,726],[568,6423,6259],{"className":6424},[611,726],[568,6426,6427,6430],{"style":900},[568,6428],{"className":6429,"style":888},[718],[568,6431],{"className":6432,"style":908},[907],[568,6434,6435,6438],{"style":911},[568,6436],{"className":6437,"style":888},[718],[568,6439,6441],{"className":6440},[723,724,725,726],[568,6442,6444],{"className":6443},[611,726],[568,6445,675],{"className":6446},[611,726],[568,6448,928],{"className":6449},[927],[568,6451,6453],{"className":6452},[706],[568,6454,6456],{"className":6455,"style":935},[710],[568,6457],{},[568,6459],{"className":6460},[941,867]," statt ",[568,6463,6465,6483],{"className":6464},[571],[568,6466,6468],{"className":6467},[575],[577,6469,6470],{"xmlns":579},[581,6471,6472,6480],{},[584,6473,6474],{},[841,6475,6476,6478],{},[673,6477,675],{},[673,6479,5535],{},[591,6481,6482],{"encoding":593},"\\frac{1}{4}",[568,6484,6486],{"className":6485,"ariaHidden":598},[597],[568,6487,6489,6492],{"className":6488},[602],[568,6490],{"className":6491,"style":859},[606],[568,6493,6495,6498,6557],{"className":6494},[611],[568,6496],{"className":6497},[866,867],[568,6499,6501],{"className":6500},[841],[568,6502,6504,6549],{"className":6503},[702,874],[568,6505,6507,6546],{"className":6506},[706],[568,6508,6510,6524,6532],{"className":6509,"style":881},[710],[568,6511,6512,6515],{"style":884},[568,6513],{"className":6514,"style":888},[718],[568,6516,6518],{"className":6517},[723,724,725,726],[568,6519,6521],{"className":6520},[611,726],[568,6522,5535],{"className":6523},[611,726],[568,6525,6526,6529],{"style":900},[568,6527],{"className":6528,"style":888},[718],[568,6530],{"className":6531,"style":908},[907],[568,6533,6534,6537],{"style":911},[568,6535],{"className":6536,"style":888},[718],[568,6538,6540],{"className":6539},[723,724,725,726],[568,6541,6543],{"className":6542},[611,726],[568,6544,675],{"className":6545},[611,726],[568,6547,928],{"className":6548},[927],[568,6550,6552],{"className":6551},[706],[568,6553,6555],{"className":6554,"style":935},[710],[568,6556],{},[568,6558],{"className":6559},[941,867],[5845,6561,6562,6630,6631,6731],{},[568,6563,6565,6586],{"className":6564},[571],[568,6566,6568],{"className":6567},[575],[577,6569,6570],{"xmlns":579},[581,6571,6572,6584],{},[584,6573,6574],{},[662,6575,6576,6578],{},[587,6577,589],{},[584,6579,6580,6582],{},[669,6581,671],{},[673,6583,675],{},[591,6585,678],{"encoding":593},[568,6587,6589],{"className":6588,"ariaHidden":598},[597],[568,6590,6592,6595],{"className":6591},[602],[568,6593],{"className":6594,"style":688},[606],[568,6596,6598,6601],{"className":6597},[611],[568,6599,589],{"className":6600,"style":613},[611,612],[568,6602,6604],{"className":6603},[698],[568,6605,6607],{"className":6606},[702],[568,6608,6610],{"className":6609},[706],[568,6611,6613],{"className":6612,"style":711},[710],[568,6614,6615,6618],{"style":714},[568,6616],{"className":6617,"style":719},[718],[568,6619,6621],{"className":6620},[723,724,725,726],[568,6622,6624,6627],{"className":6623},[611,726],[568,6625,671],{"className":6626},[611,726],[568,6628,675],{"className":6629},[611,726]," mit ",[568,6632,6634,6652],{"className":6633},[571],[568,6635,6637],{"className":6636},[575],[577,6638,6639],{"xmlns":579},[581,6640,6641,6649],{},[584,6642,6643],{},[841,6644,6645,6647],{},[673,6646,675],{},[587,6648,589],{},[591,6650,6651],{"encoding":593},"\\frac{1}{f}",[568,6653,6655],{"className":6654,"ariaHidden":598},[597],[568,6656,6658,6662],{"className":6657},[602],[568,6659],{"className":6660,"style":6661},[606],"height:1.3262em;vertical-align:-0.4811em;",[568,6663,6665,6668,6728],{"className":6664},[611],[568,6666],{"className":6667},[866,867],[568,6669,6671],{"className":6670},[841],[568,6672,6674,6719],{"className":6673},[702,874],[568,6675,6677,6716],{"className":6676},[706],[568,6678,6680,6694,6702],{"className":6679,"style":881},[710],[568,6681,6682,6685],{"style":884},[568,6683],{"className":6684,"style":888},[718],[568,6686,6688],{"className":6687},[723,724,725,726],[568,6689,6691],{"className":6690},[611,726],[568,6692,589],{"className":6693,"style":613},[611,612,726],[568,6695,6696,6699],{"style":900},[568,6697],{"className":6698,"style":888},[718],[568,6700],{"className":6701,"style":908},[907],[568,6703,6704,6707],{"style":911},[568,6705],{"className":6706,"style":888},[718],[568,6708,6710],{"className":6709},[723,724,725,726],[568,6711,6713],{"className":6712},[611,726],[568,6714,675],{"className":6715},[611,726],[568,6717,928],{"className":6718},[927],[568,6720,6722],{"className":6721},[706],[568,6723,6726],{"className":6724,"style":6725},[710],"height:0.4811em;",[568,6727],{},[568,6729],{"className":6730},[941,867]," verwechseln. Die Umkehrfunktion ist nicht der Kehrwert der Funktion.",[5845,6733,6734,6735,6907],{},"Die Voraussetzung 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übersehen.",{"title":6909,"searchDepth":6910,"depth":6910,"links":6911},"",2,[6912,6913,6914,6915],{"id":561,"depth":6910,"text":562},{"id":2153,"depth":6910,"text":2154},{"id":3008,"depth":6910,"text":3009},{"id":5839,"depth":6910,"text":5840},[6917,6920,6925,6928,6931,6933,6935,6937],{"lhs":6918,"rhs":6919},"1\u002Fexp(log(y))","1\u002Fy",{"lhs":6921,"rhs":6922,"where":6923},"1\u002Fcos(asin(y))","1\u002Fsqrt(1 - y^2)",{"y":6924},0.5,{"lhs":6926,"rhs":1034,"where":6927},"round((asin(y+1e-5) - asin(y-1e-5))\u002F(2e-5) - 1\u002Fsqrt(1 - y^2), 6)",{"y":6924},{"lhs":6929,"rhs":6930},"1 + tan(atan(y))^2","1 + y^2",{"lhs":6932,"rhs":1034},"round((atan(y+1e-5) - atan(y-1e-5))\u002F(2e-5) - 1\u002F(1 + y^2), 6)",{"lhs":6934,"rhs":3627},"1^3 + 1",{"lhs":6936,"rhs":5535},"3*1^2 + 1",{"lhs":6938,"rhs":6259},"3*2^2 + 1","f \\text{ stetig und streng monoton auf einem Intervall},\\ f \\text{ differenzierbar in } x_0,\\ f'(x_0) \\neq 0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>f\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">f\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">stetig und streng monoton auf einem\u003C\u002Fspan> \u003Cspan style=\"white-space: nowrap\">\u003Cspan class=\"katex\">Intervall\u003C\u002Fspan>\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo 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class=\"fig-dot\"\u002F>\u003Ctext x=\"185.2\" y=\"148.4\" text-anchor=\"start\" dominant-baseline=\"middle\" class=\"fig-label fig-upright\">(2 | 1)\u003C\u002Ftext>\u003Ctext x=\"114.8\" y=\"28\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">f\u003C\u002Ftext>\u003Ctext x=\"229.6\" y=\"98\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">f⁻¹\u003C\u002Ftext>\u003Ctext x=\"207.2\" y=\"16.8\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label fig-upright\">y = x\u003C\u002Ftext>\u003C\u002Fsvg>","inverse-function-derivative","\\left(f^{-1}\\right)'(y_0) = \\frac{1}{f'(x_0)} \\quad \\text{mit } y_0 = f(x_0)","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmsup>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmsup>\u003Cmi>f\u003C\u002Fmi>\u003Cmrow>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cmo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">′\u003C\u002Fmo>\u003C\u002Fmsup>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>y\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmrow>\u003Cmsup>\u003Cmi>f\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">′\u003C\u002Fmo>\u003C\u002Fmsup>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003Cmspace width=\"1em\"\u002F>\u003Cmtext>mit \u003C\u002Fmtext>\u003Cmsub>\u003Cmi>y\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>f\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\left(f^{-1}\\right)'(y_0) = \\frac{1}{f'(x_0)} \\quad \\text{mit } y_0 = f(x_0)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.3559em;vertical-align:-0.35em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">\u003Cspan class=\"minner\">\u003Cspan class=\"mopen delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size1\">(\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size1\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.0059em;\">\u003Cspan style=\"top:-3.317em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">′\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan 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style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.6779em;\">\u003Cspan style=\"top:-2.989em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">′\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.936em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:1em;\">\u003C\u002Fspan>\u003Cspan class=\"mord text\">\u003Cspan class=\"mord\">mit \u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\">\u003Cspan 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