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0v40h399900v-40z",[572,2092,1245],{"className":2093},[1244],[572,2095,2097],{"className":2096},[1021],[572,2098,2101],{"className":2099,"style":2100},[1025],"height:0.011em;",[572,2102],{},[572,2104],{"className":2105,"style":716},[715],[572,2107],{"className":2108,"style":716},[715],[572,2110,2112,2115,2118],{"className":2111},[606],[572,2113],{"className":2114,"style":611},[610],[572,2116,686],{"className":2117},[615],[572,2119,635],{"className":2120},[615,651],[564,2122,2123,2124,2152,2153,2506,2507,2536,2537,947],{},"Für größere natürliche ",[572,2125,2127,2140],{"className":2126},[575],[572,2128,2130],{"className":2129},[579],[581,2131,2132],{"xmlns":583},[585,2133,2134,2138],{},[588,2135,2136],{},[633,2137,674],{},[595,2139,674],{"encoding":597},[572,2141,2143],{"className":2142,"ariaHidden":602},[601],[572,2144,2146,2149],{"className":2145},[606],[572,2147],{"className":2148,"style":647},[610],[572,2150,674],{"className":2151},[615,651]," liefert der binomische Lehrsatz ",[572,2154,2156,2235],{"className":2155},[575],[572,2157,2159],{"className":2158},[579],[581,2160,2161],{"xmlns":583},[585,2162,2163,2232],{},[588,2164,2165,2167,2169,2171,2173,2179,2181,2187,2189,2191,2203,2205,2207,2209,2212,2218,2220,2226,2228,2230],{},[676,2166,966],{"stretchy":965},[633,2168,635],{},[676,2170,1623],{},[633,2172,1626],{},[970,2174,2175,2177],{},[676,2176,974],{"stretchy":965},[633,2178,674],{},[676,2180,678],{},[970,2182,2183,2185],{},[633,2184,635],{},[633,2186,674],{},[676,2188,1623],{},[633,2190,674],{},[970,2192,2193,2195],{},[633,2194,635],{},[588,2196,2197,2199,2201],{},[633,2198,674],{},[676,2200,1131],{},[591,2202,593],{},[633,2204,1626],{},[676,2206,1623],{},[676,2208,966],{"stretchy":965},[1676,2210,2211],{},"Terme mit ",[970,2213,2214,2216],{},[633,2215,1626],{},[591,2217,686],{},[676,2219,683],{"separator":602},[970,2221,2222,2224],{},[633,2223,1626],{},[591,2225,691],{},[676,2227,683],{"separator":602},[676,2229,696],{},[676,2231,974],{"stretchy":965},[595,2233,2234],{"encoding":597},"(x+h)^n = x^n + n x^{n-1} h + (\\text{Terme mit } h^2, h^3, \\ldots)",[572,2236,2238,2260,2308,2353,2413],{"className":2237,"ariaHidden":602},[601],[572,2239,2241,2245,2248,2251,2254,2257],{"className":2240},[606],[572,2242],{"className":2243,"style":2244},[610],"height:1em;vertical-align:-0.25em;",[572,2246,966],{"className":2247},[999],[572,2249,635],{"className":2250},[615,651],[572,2252],{"className":2253,"style":1775},[715],[572,2255,1623],{"className":2256},[1779],[572,2258],{"className":2259,"style":1775},[715],[572,2261,2263,2266,2269,2299,2302,2305],{"className":2262},[606],[572,2264],{"className":2265,"style":2244},[610],[572,2267,1626],{"className":2268},[615,651],[572,2270,2272,2275],{"className":2271},[1006],[572,2273,974],{"className":2274},[1006],[572,2276,2278],{"className":2277},[1013],[572,2279,2281],{"className":2280},[1017],[572,2282,2284],{"className":2283},[1021],[572,2285,2288],{"className":2286,"style":2287},[1025],"height:0.6644em;",[572,2289,2290,2293],{"style":1029},[572,2291],{"className":2292,"style":1034},[1033],[572,2294,2296],{"className":2295},[1038,1039,1040,1041],[572,2297,674],{"className":2298},[615,651,1041],[572,2300],{"className":2301,"style":716},[715],[572,2303,678],{"className":2304},[720],[572,2306],{"className":2307,"style":716},[715],[572,2309,2311,2315,2344,2347,2350],{"className":2310},[606],[572,2312],{"className":2313,"style":2314},[610],"height:0.7477em;vertical-align:-0.0833em;",[572,2316,2318,2321],{"className":2317},[615],[572,2319,635],{"className":2320},[615,651],[572,2322,2324],{"className":2323},[1013],[572,2325,2327],{"className":2326},[1017],[572,2328,2330],{"className":2329},[1021],[572,2331,2333],{"className":2332,"style":2287},[1025],[572,2334,2335,2338],{"style":1029},[572,2336],{"className":2337,"style":1034},[1033],[572,2339,2341],{"className":2340},[1038,1039,1040,1041],[572,2342,674],{"className":2343},[615,651,1041],[572,2345],{"className":2346,"style":1775},[715],[572,2348,1623],{"className":2349},[1779],[572,2351],{"className":2352,"style":1775},[715],[572,2354,2356,2360,2363,2401,2404,2407,2410],{"className":2355},[606],[572,2357],{"className":2358,"style":2359},[610],"height:0.8974em;vertical-align:-0.0833em;",[572,2361,674],{"className":2362},[615,651],[572,2364,2366,2369],{"className":2365},[615],[572,2367,635],{"className":2368},[615,651],[572,2370,2372],{"className":2371},[1013],[572,2373,2375],{"className":2374},[1017],[572,2376,2378],{"className":2377},[1021],[572,2379,2381],{"className":2380,"style":1273},[1025],[572,2382,2383,2386],{"style":1029},[572,2384],{"className":2385,"style":1034},[1033],[572,2387,2389],{"className":2388},[1038,1039,1040,1041],[572,2390,2392,2395,2398],{"className":2391},[615,1041],[572,2393,674],{"className":2394},[615,651,1041],[572,2396,1131],{"className":2397},[1779,1041],[572,2399,593],{"className":2400},[615,1041],[572,2402,1626],{"className":2403},[615,651],[572,2405],{"className":2406,"style":1775},[715],[572,2408,1623],{"className":2409},[1779],[572,2411],{"className":2412,"style":1775},[715],[572,2414,2416,2420,2423,2430,2459,2462,2465,2494,2497,2500,2503],{"className":2415},[606],[572,2417],{"className":2418,"style":2419},[610],"height:1.0641em;vertical-align:-0.25em;",[572,2421,966],{"className":2422},[999],[572,2424,2427],{"className":2425},[615,2426],"text",[572,2428,2211],{"className":2429},[615],[572,2431,2433,2436],{"className":2432},[615],[572,2434,1626],{"className":2435},[615,651],[572,2437,2439],{"className":2438},[1013],[572,2440,2442],{"className":2441},[1017],[572,2443,2445],{"className":2444},[1021],[572,2446,2448],{"className":2447,"style":1273},[1025],[572,2449,2450,2453],{"style":1029},[572,2451],{"className":2452,"style":1034},[1033],[572,2454,2456],{"className":2455},[1038,1039,1040,1041],[572,2457,686],{"className":2458},[615,1041],[572,2460,683],{"className":2461},[737],[572,2463],{"className":2464,"style":741},[715],[572,2466,2468,2471],{"className":2467},[615],[572,2469,1626],{"className":2470},[615,651],[572,2472,2474],{"className":2473},[1013],[572,2475,2477],{"className":2476},[1017],[572,2478,2480],{"className":2479},[1021],[572,2481,2483],{"className":2482,"style":1273},[1025],[572,2484,2485,2488],{"style":1029},[572,2486],{"className":2487,"style":1034},[1033],[572,2489,2491],{"className":2490},[1038,1039,1040,1041],[572,2492,691],{"className":2493},[615,1041],[572,2495,683],{"className":2496},[737],[572,2498],{"className":2499,"style":741},[715],[572,2501,696],{"className":2502},[763],[572,2504,974],{"className":2505},[1006],". Nach dem Teilen durch ",[572,2508,2510,2523],{"className":2509},[575],[572,2511,2513],{"className":2512},[579],[581,2514,2515],{"xmlns":583},[585,2516,2517,2521],{},[588,2518,2519],{},[633,2520,1626],{},[595,2522,1626],{"encoding":597},[572,2524,2526],{"className":2525,"ariaHidden":602},[601],[572,2527,2529,2533],{"className":2528},[606],[572,2530],{"className":2531,"style":2532},[610],"height:0.6944em;",[572,2534,1626],{"className":2535},[615,651]," bleibt im Grenzwert nur ",[572,2538,2540,2566],{"className":2539},[575],[572,2541,2543],{"className":2542},[579],[581,2544,2545],{"xmlns":583},[585,2546,2547,2563],{},[588,2548,2549,2551],{},[633,2550,674],{},[970,2552,2553,2555],{},[633,2554,635],{},[588,2556,2557,2559,2561],{},[633,2558,674],{},[676,2560,1131],{},[591,2562,593],{},[595,2564,2565],{"encoding":597},"n x^{n-1}",[572,2567,2569],{"className":2568,"ariaHidden":602},[601],[572,2570,2572,2575,2578],{"className":2571},[606],[572,2573],{"className":2574,"style":1273},[610],[572,2576,674],{"className":2577},[615,651],[572,2579,2581,2584],{"className":2580},[615],[572,2582,635],{"className":2583},[615,651],[572,2585,2587],{"className":2586},[1013],[572,2588,2590],{"className":2589},[1017],[572,2591,2593],{"className":2592},[1021],[572,2594,2596],{"className":2595,"style":1273},[1025],[572,2597,2598,2601],{"style":1029},[572,2599],{"className":2600,"style":1034},[1033],[572,2602,2604],{"className":2603},[1038,1039,1040,1041],[572,2605,2607,2610,2613],{"className":2606},[615,1041],[572,2608,674],{"className":2609},[615,651,1041],[572,2611,1131],{"className":2612},[1779,1041],[572,2614,593],{"className":2615},[615,1041],[559,2617,2619],{"id":2618},"beispiele","Beispiele",[572,2621,2623],{"className":2622},[1599],[572,2624,2626,2721],{"className":2625},[575],[572,2627,2629],{"className":2628},[579],[581,2630,2631],{"xmlns":583,"display":1608},[585,2632,2633,2718],{},[588,2634,2635,2638,2640,2642,2644,2646,2653,2655,2658,2660,2666,2668,2670,2672,2674,2676,2683,2685,2688,2694,2696,2698,2700,2702,2704,2707,2713,2715],{},[633,2636,2637],{},"f",[676,2639,966],{"stretchy":965},[633,2641,635],{},[676,2643,974],{"stretchy":965},[676,2645,678],{},[970,2647,2648,2650],{},[633,2649,635],{},[591,2651,2652],{},"5",[1676,2654,1678],{},[676,2656,2657],{},"⇒",[1676,2659,1678],{},[970,2661,2662,2664],{},[633,2663,2637],{},[676,2665,978],{"mathvariant":812,"lspace":977,"rspace":977},[676,2667,966],{"stretchy":965},[633,2669,635],{},[676,2671,974],{"stretchy":965},[676,2673,678],{},[591,2675,2652],{},[970,2677,2678,2680],{},[633,2679,635],{},[591,2681,2682],{},"4",[676,2684,683],{"separator":602},[715,2686],{"width":2687},"1em",[970,2689,2690,2692],{},[633,2691,2637],{},[676,2693,978],{"mathvariant":812,"lspace":977,"rspace":977},[676,2695,966],{"stretchy":965},[591,2697,686],{},[676,2699,974],{"stretchy":965},[676,2701,678],{},[591,2703,2652],{},[676,2705,2706],{},"⋅",[970,2708,2709,2711],{},[591,2710,686],{},[591,2712,2682],{},[676,2714,678],{},[591,2716,2717],{},"80",[595,2719,2720],{"encoding":597},"f(x) = x^5 \\;\\Rightarrow\\; f'(x) = 5x^4, \\quad f'(2) = 5 \\cdot 2^4 = 80",[572,2722,2724,2752,2804,2862,2961,2979,3023],{"className":2723,"ariaHidden":602},[601],[572,2725,2727,2730,2734,2737,2740,2743,2746,2749],{"className":2726},[606],[572,2728],{"className":2729,"style":2244},[610],[572,2731,2637],{"className":2732,"style":2733},[615,651],"margin-right:0.1076em;",[572,2735,966],{"className":2736},[999],[572,2738,635],{"className":2739},[615,651],[572,2741,974],{"className":2742},[1006],[572,2744],{"className":2745,"style":716},[715],[572,2747,678],{"className":2748},[720],[572,2750],{"className":2751,"style":716},[715],[572,2753,2755,2759,2789,2792,2795,2798,2801],{"className":2754},[606],[572,2756],{"className":2757,"style":2758},[610],"height:0.8641em;",[572,2760,2762,2765],{"className":2761},[615],[572,2763,635],{"className":2764},[615,651],[572,2766,2768],{"className":2767},[1013],[572,2769,2771],{"className":2770},[1017],[572,2772,2774],{"className":2773},[1021],[572,2775,2777],{"className":2776,"style":2758},[1025],[572,2778,2780,2783],{"style":2779},"top:-3.113em;margin-right:0.05em;",[572,2781],{"className":2782,"style":1034},[1033],[572,2784,2786],{"className":2785},[1038,1039,1040,1041],[572,2787,2652],{"className":2788},[615,1041],[572,2790],{"className":2791,"style":716},[715],[572,2793],{"className":2794,"style":716},[715],[572,2796,2657],{"className":2797},[720],[572,2799],{"className":2800,"style":716},[715],[572,2802],{"className":2803,"style":716},[715],[572,2805,2807,2811,2844,2847,2850,2853,2856,2859],{"className":2806},[606],[572,2808],{"className":2809,"style":2810},[610],"height:1.0519em;vertical-align:-0.25em;",[572,2812,2814,2817],{"className":2813},[615],[572,2815,2637],{"className":2816,"style":2733},[615,651],[572,2818,2820],{"className":2819},[1013],[572,2821,2823],{"className":2822},[1017],[572,2824,2826],{"className":2825},[1021],[572,2827,2830],{"className":2828,"style":2829},[1025],"height:0.8019em;",[572,2831,2832,2835],{"style":2779},[572,2833],{"className":2834,"style":1034},[1033],[572,2836,2838],{"className":2837},[1038,1039,1040,1041],[572,2839,2841],{"className":2840},[615,1041],[572,2842,978],{"className":2843},[615,1041],[572,2845,966],{"className":2846},[999],[572,2848,635],{"className":2849},[615,651],[572,2851,974],{"className":2852},[1006],[572,2854],{"className":2855,"style":716},[715],[572,2857,678],{"className":2858},[720],[572,2860],{"className":2861,"style":716},[715],[572,2863,2865,2869,2872,2901,2904,2908,2911,2943,2946,2949,2952,2955,2958],{"className":2864},[606],[572,2866],{"className":2867,"style":2868},[610],"height:1.1141em;vertical-align:-0.25em;",[572,2870,2652],{"className":2871},[615],[572,2873,2875,2878],{"className":2874},[615],[572,2876,635],{"className":2877},[615,651],[572,2879,2881],{"className":2880},[1013],[572,2882,2884],{"className":2883},[1017],[572,2885,2887],{"className":2886},[1021],[572,2888,2890],{"className":2889,"style":2758},[1025],[572,2891,2892,2895],{"style":2779},[572,2893],{"className":2894,"style":1034},[1033],[572,2896,2898],{"className":2897},[1038,1039,1040,1041],[572,2899,2682],{"className":2900},[615,1041],[572,2902,683],{"className":2903},[737],[572,2905],{"className":2906,"style":2907},[715],"margin-right:1em;",[572,2909],{"className":2910,"style":741},[715],[572,2912,2914,2917],{"className":2913},[615],[572,2915,2637],{"className":2916,"style":2733},[615,651],[572,2918,2920],{"className":2919},[1013],[572,2921,2923],{"className":2922},[1017],[572,2924,2926],{"className":2925},[1021],[572,2927,2929],{"className":2928,"style":2829},[1025],[572,2930,2931,2934],{"style":2779},[572,2932],{"className":2933,"style":1034},[1033],[572,2935,2937],{"className":2936},[1038,1039,1040,1041],[572,2938,2940],{"className":2939},[615,1041],[572,2941,978],{"className":2942},[615,1041],[572,2944,966],{"className":2945},[999],[572,2947,686],{"className":2948},[615],[572,2950,974],{"className":2951},[1006],[572,2953],{"className":2954,"style":716},[715],[572,2956,678],{"className":2957},[720],[572,2959],{"className":2960,"style":716},[715],[572,2962,2964,2967,2970,2973,2976],{"className":2963},[606],[572,2965],{"className":2966,"style":611},[610],[572,2968,2652],{"className":2969},[615],[572,2971],{"className":2972,"style":1775},[715],[572,2974,2706],{"className":2975},[1779],[572,2977],{"className":2978,"style":1775},[715],[572,2980,2982,2985,3014,3017,3020],{"className":2981},[606],[572,2983],{"className":2984,"style":2758},[610],[572,2986,2988,2991],{"className":2987},[615],[572,2989,686],{"className":2990},[615],[572,2992,2994],{"className":2993},[1013],[572,2995,2997],{"className":2996},[1017],[572,2998,3000],{"className":2999},[1021],[572,3001,3003],{"className":3002,"style":2758},[1025],[572,3004,3005,3008],{"style":2779},[572,3006],{"className":3007,"style":1034},[1033],[572,3009,3011],{"className":3010},[1038,1039,1040,1041],[572,3012,2682],{"className":3013},[615,1041],[572,3015],{"className":3016,"style":716},[715],[572,3018,678],{"className":3019},[720],[572,3021],{"className":3022,"style":716},[715],[572,3024,3026,3029],{"className":3025},[606],[572,3027],{"className":3028,"style":611},[610],[572,3030,2717],{"className":3031},[615],[572,3033,3035],{"className":3034},[1599],[572,3036,3038,3130],{"className":3037},[575],[572,3039,3041],{"className":3040},[579],[581,3042,3043],{"xmlns":583,"display":1608},[585,3044,3045,3127],{},[588,3046,3047,3049,3051,3053,3055,3057,3067,3069,3079,3081,3083,3085,3091,3093,3095,3097,3099,3101,3103,3113,3115,3117],{},[633,3048,2637],{},[676,3050,966],{"stretchy":965},[633,3052,635],{},[676,3054,974],{"stretchy":965},[676,3056,678],{},[1111,3058,3059,3061],{},[591,3060,593],{},[970,3062,3063,3065],{},[633,3064,635],{},[591,3066,686],{},[676,3068,678],{},[970,3070,3071,3073],{},[633,3072,635],{},[588,3074,3075,3077],{},[676,3076,1131],{},[591,3078,686],{},[1676,3080,1678],{},[676,3082,2657],{},[1676,3084,1678],{},[970,3086,3087,3089],{},[633,3088,2637],{},[676,3090,978],{"mathvariant":812,"lspace":977,"rspace":977},[676,3092,966],{"stretchy":965},[633,3094,635],{},[676,3096,974],{"stretchy":965},[676,3098,678],{},[676,3100,1131],{},[591,3102,686],{},[970,3104,3105,3107],{},[633,3106,635],{},[588,3108,3109,3111],{},[676,3110,1131],{},[591,3112,691],{},[676,3114,678],{},[676,3116,1131],{},[1111,3118,3119,3121],{},[591,3120,686],{},[970,3122,3123,3125],{},[633,3124,635],{},[591,3126,691],{},[595,3128,3129],{"encoding":597},"f(x) = \\frac{1}{x^2} = x^{-2} \\;\\Rightarrow\\; f'(x) = -2x^{-3} = -\\frac{2}{x^3}",[572,3131,3133,3160,3267,3323,3379,3436],{"className":3132,"ariaHidden":602},[601],[572,3134,3136,3139,3142,3145,3148,3151,3154,3157],{"className":3135},[606],[572,3137],{"className":3138,"style":2244},[610],[572,3140,2637],{"className":3141,"style":2733},[615,651],[572,3143,966],{"className":3144},[999],[572,3146,635],{"className":3147},[615,651],[572,3149,974],{"className":3150},[1006],[572,3152],{"className":3153,"style":716},[715],[572,3155,678],{"className":3156},[720],[572,3158],{"className":3159,"style":716},[715],[572,3161,3163,3167,3258,3261,3264],{"className":3162},[606],[572,3164],{"className":3165,"style":3166},[610],"height:2.0074em;vertical-align:-0.686em;",[572,3168,3170,3173,3255],{"className":3169},[615],[572,3171],{"className":3172},[999,1153],[572,3174,3176],{"className":3175},[1111],[572,3177,3179,3247],{"className":3178},[1017,1160],[572,3180,3182,3244],{"className":3181},[1021],[572,3183,3186,3225,3233],{"className":3184,"style":3185},[1025],"height:1.3214em;",[572,3187,3188,3191],{"style":1739},[572,3189],{"className":3190,"style":1174},[1033],[572,3192,3194],{"className":3193},[615],[572,3195,3197,3200],{"className":3196},[615],[572,3198,635],{"className":3199},[615,651],[572,3201,3203],{"className":3202},[1013],[572,3204,3206],{"className":3205},[1017],[572,3207,3209],{"className":3208},[1021],[572,3210,3213],{"className":3211,"style":3212},[1025],"height:0.7401em;",[572,3214,3216,3219],{"style":3215},"top:-2.989em;margin-right:0.05em;",[572,3217],{"className":3218,"style":1034},[1033],[572,3220,3222],{"className":3221},[1038,1039,1040,1041],[572,3223,686],{"className":3224},[615,1041],[572,3226,3227,3230],{"style":1217},[572,3228],{"className":3229,"style":1174},[1033],[572,3231],{"className":3232,"style":1225},[1224],[572,3234,3235,3238],{"style":1759},[572,3236],{"className":3237,"style":1174},[1033],[572,3239,3241],{"className":3240},[615],[572,3242,593],{"className":3243},[615],[572,3245,1245],{"className":3246},[1244],[572,3248,3250],{"className":3249},[1021],[572,3251,3253],{"className":3252,"style":1862},[1025],[572,3254],{},[572,3256],{"className":3257},[1006,1153],[572,3259],{"className":3260,"style":716},[715],[572,3262,678],{"className":3263},[720],[572,3265],{"className":3266,"style":716},[715],[572,3268,3270,3273,3308,3311,3314,3317,3320],{"className":3269},[606],[572,3271],{"className":3272,"style":2758},[610],[572,3274,3276,3279],{"className":3275},[615],[572,3277,635],{"className":3278},[615,651],[572,3280,3282],{"className":3281},[1013],[572,3283,3285],{"className":3284},[1017],[572,3286,3288],{"className":3287},[1021],[572,3289,3291],{"className":3290,"style":2758},[1025],[572,3292,3293,3296],{"style":2779},[572,3294],{"className":3295,"style":1034},[1033],[572,3297,3299],{"className":3298},[1038,1039,1040,1041],[572,3300,3302,3305],{"className":3301},[615,1041],[572,3303,1131],{"className":3304},[615,1041],[572,3306,686],{"className":3307},[615,1041],[572,3309],{"className":3310,"style":716},[715],[572,3312],{"className":3313,"style":716},[715],[572,3315,2657],{"className":3316},[720],[572,3318],{"className":3319,"style":716},[715],[572,3321],{"className":3322,"style":716},[715],[572,3324,3326,3329,3361,3364,3367,3370,3373,3376],{"className":3325},[606],[572,3327],{"className":3328,"style":2810},[610],[572,3330,3332,3335],{"className":3331},[615],[572,3333,2637],{"className":3334,"style":2733},[615,651],[572,3336,3338],{"className":3337},[1013],[572,3339,3341],{"className":3340},[1017],[572,3342,3344],{"className":3343},[1021],[572,3345,3347],{"className":3346,"style":2829},[1025],[572,3348,3349,3352],{"style":2779},[572,3350],{"className":3351,"style":1034},[1033],[572,3353,3355],{"className":3354},[1038,1039,1040,1041],[572,3356,3358],{"className":3357},[615,1041],[572,3359,978],{"className":3360},[615,1041],[572,3362,966],{"className":3363},[999],[572,3365,635],{"className":3366},[615,651],[572,3368,974],{"className":3369},[1006],[572,3371],{"className":3372,"style":716},[715],[572,3374,678],{"className":3375},[720],[572,3377],{"className":3378,"style":716},[715],[572,3380,3382,3386,3389,3392,3427,3430,3433],{"className":3381},[606],[572,3383],{"className":3384,"style":3385},[610],"height:0.9474em;vertical-align:-0.0833em;",[572,3387,1131],{"className":3388},[615],[572,3390,686],{"className":3391},[615],[572,3393,3395,3398],{"className":3394},[615],[572,3396,635],{"className":3397},[615,651],[572,3399,3401],{"className":3400},[1013],[572,3402,3404],{"className":3403},[1017],[572,3405,3407],{"className":3406},[1021],[572,3408,3410],{"className":3409,"style":2758},[1025],[572,3411,3412,3415],{"style":2779},[572,3413],{"className":3414,"style":1034},[1033],[572,3416,3418],{"className":3417},[1038,1039,1040,1041],[572,3419,3421,3424],{"className":3420},[615,1041],[572,3422,1131],{"className":3423},[615,1041],[572,3425,691],{"className":3426},[615,1041],[572,3428],{"className":3429,"style":716},[715],[572,3431,678],{"className":3432},[720],[572,343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= \\sqrt{x} = x^{\\frac{1}{2}} \\;\\Rightarrow\\; f'(x) = \\frac{1}{2} x^{-\\frac{1}{2}} = \\frac{1}{2\\sqrt{x}}",[572,3632,3634,3661,3727,3847,3903,4080],{"className":3633,"ariaHidden":602},[601],[572,3635,3637,3640,3643,3646,3649,3652,3655,3658],{"className":3636},[606],[572,3638],{"className":3639,"style":2244},[610],[572,3641,2637],{"className":3642,"style":2733},[615,651],[572,3644,966],{"className":3645},[999],[572,3647,635],{"className":3648},[615,651],[572,3650,974],{"className":3651},[1006],[572,3653],{"className":3654,"style":716},[715],[572,3656,678],{"className":3657},[720],[572,3659],{"className":3660,"style":716},[715],[572,3662,3664,3668,3718,3721,3724],{"className":3663},[606],[572,3665],{"className":3666,"style":3667},[610],"height:1.04em;vertical-align:-0.1908em;",[572,3669,3671],{"className":3670},[615,1355],[572,3672,3674,3709],{"className":3673},[1017,1160],[572,3675,3677,3706],{"className":3676},[1021],[572,3678,3681,3693],{"className":3679,"style":3680},[1025],"height:0.8492em;",[572,3682,3684,3687],{"className":3683,"style":1370},[1369],[572,3685],{"className":3686,"style":1174},[1033],[572,3688,3690],{"className":3689,"style":1377},[615],[572,3691,635],{"className":3692},[615,651],[572,3694,3696,3699],{"style":3695},"top:-2.8092em;",[572,3697],{"className":3698,"style":1174},[1033],[572,3700,3702],{"className":3701,"style":1391},[1390],[1393,3703,3704],{"xmlns":1395,"width":1396,"height":1397,"viewBox":1398,"preserveAspectRatio":1399},[1401,3705],{"d":1403},[572,3707,1245],{"className":3708},[1244],[572,3710,3712],{"className":3711},[1021],[572,3713,3716],{"className":3714,"style":3715},[1025],"height:0.1908em;",[572,3717],{},[572,3719],{"className":3720,"style":716},[715],[572,3722,678],{"className":3723},[720],[572,3725],{"className":3726,"style":716},[715],[572,3728,3730,3734,3832,3835,3838,3841,3844],{"className":3729},[606],[572,3731],{"className":3732,"style":3733},[610],"height:1.004em;",[572,3735,3737,3740],{"className":3736},[615],[572,3738,635],{"className":3739},[615,651],[572,3741,3743],{"className":3742},[1013],[572,3744,3746],{"className":3745},[1017],[572,3747,3749],{"className":3748},[1021],[572,3750,3752],{"className":3751,"style":3733},[1025],[572,3753,3755,3758],{"style":3754},"top:-3.413em;margin-right:0.05em;",[572,3756],{"className":3757,"style":1174},[1033],[572,3759,3761],{"className":3760},[1038,1039,1040,1041],[572,3762,3764],{"className":3763},[615,1041],[572,3765,3767,3770,3829],{"className":3766},[615,1041],[572,3768],{"className":3769},[999,1153,1038,1210,1468],[572,3771,3773],{"className":3772},[1111],[572,3774,3776,3821],{"className":3775},[1017,1160],[572,3777,3779,3818],{"className":3778},[1021],[572,3780,3782,3796,3804],{"className":3781,"style":1481},[1025],[572,3783,3784,3787],{"style":1484},[572,3785],{"className":3786,"style":1174},[1033],[572,3788,3790],{"className":3789},[1038,1210,1211,1041],[572,3791,3793],{"className":3792},[615,1041],[572,3794,686],{"className":3795},[615,1041],[572,3797,3798,3801],{"style":1499},[572,3799],{"className":3800,"style":1174},[1033],[572,3802],{"className":3803,"style":1506},[1224,1041],[572,3805,3806,3809],{"style":1509},[572,3807],{"className":3808,"style":1174},[1033],[572,3810,3812],{"className":3811},[1038,1210,1211,1041],[572,3813,3815],{"className":3814},[615,1041],[572,3816,593],{"className":3817},[615,1041],[572,3819,1245],{"className":3820},[1244],[572,3822,3824],{"className":3823},[1021],[572,3825,3827],{"className":3826,"style":1531},[1025],[572,3828],{},[572,3830],{"className":3831},[1006,1153,1038,1210,1468],[572,3833],{"className":3834,"style":716},[715],[572,3836],{"className":3837,"style":716},[715],[572,3839,2657],{"className":3840},[720],[572,3842],{"className":3843,"style":716},[715],[572,3845],{"className":3846,"style":716},[715],[572,3848,3850,3853,3885,3888,3891,3894,3897,3900],{"className":3849},[606],[572,3851],{"className":3852,"style":2810},[610],[572,3854,3856,3859],{"className":3855},[615],[572,3857,2637],{"className":3858,"style":2733},[615,651],[572,3860,3862],{"className":3861},[1013],[572,3863,3865],{"className":3864},[1017],[572,3866,3868],{"className":3867},[1021],[572,3869,3871],{"className":3870,"style":2829},[1025],[572,3872,3873,3876],{"style":2779},[572,3874],{"className":3875,"style":1034},[1033],[572,3877,3879],{"className":3878},[1038,1039,1040,1041],[572,3880,3882],{"className":3881},[615,1041],[572,3883,978],{"className":3884},[615,1041],[572,3886,966],{"className":3887},[999],[572,3889,635],{"className":3890},[615,651],[572,3892,974],{"className":3893},[1006],[572,3895],{"className":3896,"style":716},[715],[572,3898,678],{"className":3899},[720],[572,3901],{"className":3902,"style":716},[715],[572,3904,3906,3909,3971,4071,4074,4077],{"className":3905},[606],[572,3907],{"className":3908,"style":3166},[610],[572,3910,3912,3915,3968],{"className":3911},[615],[572,3913],{"className":3914},[999,1153],[572,3916,3918],{"className":3917},[1111],[572,3919,3921,3960],{"className":3920},[1017,1160],[572,3922,3924,3957],{"className":3923},[1021],[572,3925,3927,3938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Fehler",[654,4203,4204,4431,4663,4919],{},[657,4205,4206,4207,4366,4367,947],{},"Den Exponenten nicht verkleinern: ",[572,4208,4210,4246],{"className":4209},[575],[572,4211,4213],{"className":4212},[579],[581,4214,4215],{"xmlns":583},[585,4216,4217,4243],{},[588,4218,4219,4221,4227,4233,4235,4237],{},[676,4220,966],{"stretchy":965},[970,4222,4223,4225],{},[633,4224,635],{},[591,4226,2652],{},[970,4228,4229,4231],{},[676,4230,974],{"stretchy":965},[676,4232,978],{"mathvariant":812,"lspace":977,"rspace":977},[676,4234,678],{},[591,4236,2652],{},[970,4238,4239,4241],{},[633,4240,635],{},[591,4242,2652],{},[595,4244,4245],{"encoding":597},"(x^5)' = 5x^5",[572,4247,4249,4328],{"className":4248,"ariaHidden":602},[601],[572,4250,4252,4255,4258,4287,4319,4322,4325],{"className":4251},[606],[572,4253],{"className":4254,"style":2419},[610],[572,4256,966],{"className":4257},[999],[572,4259,4261,4264],{"className":4260},[615],[572,4262,635],{"className":4263},[615,651],[572,4265,4267],{"className":4266},[1013],[572,4268,4270],{"className":4269},[1017],[572,4271,4273],{"className":4272},[1021],[572,4274,4276],{"className":4275,"style":1273},[1025],[572,4277,4278,4281],{"style":1029},[572,4279],{"className":4280,"style":1034},[1033],[572,4282,4284],{"className":4283},[1038,1039,1040,1041],[572,4285,2652],{"className":4286},[615,1041],[572,4288,4290,4293],{"className":4289},[1006],[572,4291,974],{"className":4292},[1006],[572,4294,4296],{"className":4295},[1013],[572,4297,4299],{"className":4298},[1017],[572,4300,4302],{"className":4301},[1021],[572,4303,4305],{"className":4304,"style":1026},[1025],[572,4306,4307,4310],{"style":1029},[572,4308],{"className":4309,"style":1034},[1033],[572,4311,4313],{"className":4312},[1038,1039,1040,1041],[572,4314,4316],{"className":4315},[615,1041],[572,4317,978],{"className":4318},[615,1041],[572,4320],{"className":4321,"style":716},[715],[572,4323,678],{"className":4324},[720],[572,4326],{"className":4327,"style":716},[715],[572,4329,4331,4334,4337],{"className":4330},[606],[572,4332],{"className":4333,"style":1273},[610],[572,4335,2652],{"className":4336},[615],[572,4338,4340,4343],{"className":4339},[615],[572,4341,635],{"className":4342},[615,651],[572,4344,4346],{"className":4345},[1013],[572,4347,4349],{"className":4348},[1017],[572,4350,4352],{"className":4351},[1021],[572,4353,4355],{"className":4354,"style":1273},[1025],[572,4356,4357,4360],{"style":1029},[572,4358],{"className":4359,"style":1034},[1033],[572,4361,4363],{"className":4362},[1038,1039,1040,1041],[572,4364,2652],{"className":4365},[615,1041]," ist falsch, richtig ist ",[572,4368,4370,4390],{"className":4369},[575],[572,4371,4373],{"className":4372},[579],[581,4374,4375],{"xmlns":583},[585,4376,4377,4387],{},[588,4378,4379,4381],{},[591,4380,2652],{},[970,4382,4383,4385],{},[633,4384,635],{},[591,4386,2682],{},[595,4388,4389],{"encoding":597},"5x^4",[572,4391,4393],{"className":4392,"ariaHidden":602},[601],[572,4394,4396,4399,4402],{"className":4395},[606],[572,4397],{"className":4398,"style":1273},[610],[572,4400,2652],{"className":4401},[615],[572,4403,4405,4408],{"className":4404},[615],[572,4406,635],{"className":4407},[615,651],[572,4409,4411],{"className":4410},[1013],[572,4412,4414],{"className":4413},[1017],[572,4415,4417],{"className":4416},[1021],[572,4418,4420],{"className":4419,"style":1273},[1025],[572,4421,4422,4425],{"style":1029},[572,4423],{"className":4424,"style":1034},[1033],[572,4426,4428],{"className":4427},[1038,1039,1040,1041],[572,4429,2682],{"className":4430},[615,1041],[657,4432,4433,4434,4503,4504,4583,4584,947],{},"Bei negativen Exponenten falsch zählen: Aus ",[572,4435,4437,4459],{"className":4436},[575],[572,4438,4440],{"className":4439},[579],[581,4441,4442],{"xmlns":583},[585,4443,4444,4456],{},[588,4445,4446],{},[970,4447,4448,4450],{},[633,4449,635],{},[588,4451,4452,4454],{},[676,4453,1131],{},[591,4455,686],{},[595,4457,4458],{"encoding":597},"x^{-2}",[572,4460,4462],{"className":4461,"ariaHidden":602},[601],[572,4463,4465,4468],{"className":4464},[606],[572,4466],{"className":4467,"style":1273},[610],[572,4469,4471,4474],{"className":4470},[615],[572,4472,635],{"className":4473},[615,651],[572,4475,4477],{"className":4476},[1013],[572,4478,4480],{"className":4479},[1017],[572,4481,4483],{"className":4482},[1021],[572,4484,4486],{"className":4485,"style":1273},[1025],[572,4487,4488,4491],{"style":1029},[572,4489],{"className":4490,"style":1034},[1033],[572,4492,4494],{"className":4493},[1038,1039,1040,1041],[572,4495,4497,4500],{"className":4496},[615,1041],[572,4498,1131],{"className":4499},[615,1041],[572,4501,686],{"className":4502},[615,1041]," wird ",[572,4505,4507,4533],{"className":4506},[575],[572,4508,4510],{"className":4509},[579],[581,4511,4512],{"xmlns":583},[585,4513,4514,4530],{},[588,4515,4516,4518,4520],{},[676,4517,1131],{},[591,4519,686],{},[970,4521,4522,4524],{},[633,4523,635],{},[588,4525,4526,4528],{},[676,4527,1131],{},[591,4529,691],{},[595,4531,4532],{"encoding":597},"-2x^{-3}",[572,4534,4536],{"className":4535,"ariaHidden":602},[601],[572,4537,4539,4542,4545,4548],{"className":4538},[606],[572,4540],{"className":4541,"style":2359},[610],[572,4543,1131],{"className":4544},[615],[572,4546,686],{"className":4547},[615],[572,4549,4551,4554],{"className":4550},[615],[572,4552,635],{"className":4553},[615,651],[572,4555,4557],{"className":4556},[1013],[572,4558,4560],{"className":4559},[1017],[572,4561,4563],{"className":4562},[1021],[572,4564,4566],{"className":4565,"style":1273},[1025],[572,4567,4568,4571],{"style":1029},[572,4569],{"className":4570,"style":1034},[1033],[572,4572,4574],{"className":4573},[1038,1039,1040,1041],[572,4575,4577,4580],{"className":4576},[615,1041],[572,4578,1131],{"className":4579},[615,1041],[572,4581,691],{"className":4582},[615,1041],", nicht ",[572,4585,4587,4613],{"className":4586},[575],[572,4588,4590],{"className":4589},[579],[581,4591,4592],{"xmlns":583},[585,4593,4594,4610],{},[588,4595,4596,4598,4600],{},[676,4597,1131],{},[591,4599,686],{},[970,4601,4602,4604],{},[633,4603,635],{},[588,4605,4606,4608],{},[676,4607,1131],{},[591,4609,593],{},[595,4611,4612],{"encoding":597},"-2x^{-1}",[572,4614,4616],{"className":4615,"ariaHidden":602},[601],[572,4617,4619,4622,4625,4628],{"className":4618},[606],[572,4620],{"className":4621,"style":2359},[610],[572,4623,1131],{"className":4624},[615],[572,4626,686],{"className":4627},[615],[572,4629,4631,4634],{"className":4630},[615],[572,4632,635],{"className":4633},[615,651],[572,4635,4637],{"className":4636},[1013],[572,4638,4640],{"className":4639},[1017],[572,4641,4643],{"className":4642},[1021],[572,4644,4646],{"className":4645,"style":1273},[1025],[572,4647,4648,4651],{"style":1029},[572,4649],{"className":4650,"style":1034},[1033],[572,4652,4654],{"className":4653},[1038,1039,1040,1041],[572,4655,4657,4660],{"className":4656},[615,1041],[572,4658,1131],{"className":4659},[615,1041],[572,4661,593],{"className":4662},[615,1041],[657,4664,4665,4666,4725,4726,4918],{},"Die Potenzregel auf Exponentialfunktionen anwenden. Bei ",[572,4667,4669,4687],{"className":4668},[575],[572,4670,4672],{"className":4671},[579],[581,4673,4674],{"xmlns":583},[585,4675,4676,4684],{},[588,4677,4678],{},[970,4679,4680,4682],{},[591,4681,686],{},[633,4683,635],{},[595,4685,4686],{"encoding":597},"2^x",[572,4688,4690],{"className":4689,"ariaHidden":602},[601],[572,4691,4693,4696],{"className":4692},[606],[572,4694],{"className":4695,"style":2287},[610],[572,4697,4699,4702],{"className":4698},[615],[572,4700,686],{"className":4701},[615],[572,4703,4705],{"className":4704},[1013],[572,4706,4708],{"className":4707},[1017],[572,4709,4711],{"className":4710},[1021],[572,4712,4714],{"className":4713,"style":2287},[1025],[572,4715,4716,4719],{"style":1029},[572,4717],{"className":4718,"style":1034},[1033],[572,4720,4722],{"className":4721},[1038,1039,1040,1041],[572,4723,635],{"className":4724},[615,651,1041]," steht die Variable im Exponenten, ",[572,4727,4729,4773],{"className":4728},[575],[572,4730,4732],{"className":4731},[579],[581,4733,4734],{"xmlns":583},[585,4735,4736,4770],{},[588,4737,4738,4740,4746,4752,4754,4756,4758],{},[676,4739,966],{"stretchy":965},[970,4741,4742,4744],{},[591,4743,686],{},[633,4745,635],{},[970,4747,4748,4750],{},[676,4749,974],{"stretchy":965},[676,4751,978],{"mathvariant":812,"lspace":977,"rspace":977},[676,4753,678],{},[633,4755,635],{},[676,4757,2706],{},[970,4759,4760,4762],{},[591,4761,686],{},[588,4763,4764,4766,4768],{},[633,4765,635],{},[676,4767,1131],{},[591,4769,593],{},[595,4771,4772],{"encoding":597},"(2^x)' = x \\cdot 2^{x-1}",[572,4774,4776,4855,4874],{"className":4775,"ariaHidden":602},[601],[572,4777,4779,4782,4785,4814,4846,4849,4852],{"className":4778},[606],[572,4780],{"className":4781,"style":995},[610],[572,4783,966],{"className":4784},[999],[572,4786,4788,4791],{"className":4787},[615],[572,4789,686],{"className":4790},[615],[572,4792,4794],{"className":4793},[1013],[572,4795,4797],{"className":4796},[1017],[572,4798,4800],{"className":4799},[1021],[572,4801,4803],{"className":4802,"style":2287},[1025],[572,4804,4805,4808],{"style":1029},[572,4806],{"className":4807,"style":1034},[1033],[572,4809,4811],{"className":4810},[1038,1039,1040,1041],[572,4812,635],{"className":4813},[615,651,1041],[572,4815,4817,4820],{"className":4816},[1006],[572,4818,974],{"className":4819},[1006],[572,4821,4823],{"className":4822},[1013],[572,4824,4826],{"className":4825},[1017],[572,4827,4829],{"className":4828},[1021],[572,4830,4832],{"className":4831,"style":1026},[1025],[572,4833,4834,4837],{"style":1029},[572,4835],{"className":4836,"style":1034},[1033],[572,4838,4840],{"className":4839},[1038,1039,1040,1041],[572,4841,4843],{"className":4842},[615,1041],[572,4844,978],{"className":4845},[615,1041],[572,4847],{"className":4848,"style":716},[715],[572,4850,678],{"className":4851},[720],[572,4853],{"className":4854,"style":716},[715],[572,4856,4858,4862,4865,4868,4871],{"className":4857},[606],[572,4859],{"className":4860,"style":4861},[610],"height:0.4445em;",[572,4863,635],{"className":4864},[615,651],[572,4866],{"className":4867,"style":1775},[715],[572,4869,2706],{"className":4870},[1779],[572,4872],{"className":4873,"style":1775},[715],[572,4875,4877,4880],{"className":4876},[606],[572,4878],{"className":4879,"style":1273},[610],[572,4881,4883,4886],{"className":4882},[615],[572,4884,686],{"className":4885},[615],[572,4887,4889],{"className":4888},[1013],[572,4890,4892],{"className":4891},[1017],[572,4893,4895],{"className":4894},[1021],[572,4896,4898],{"className":4897,"style":1273},[1025],[572,4899,4900,4903],{"style":1029},[572,4901],{"className":4902,"style":1034},[1033],[572,4904,4906],{"className":4905},[1038,1039,1040,1041],[572,4907,4909,4912,4915],{"className":4908},[615,1041],[572,4910,635],{"className":4911},[615,651,1041],[572,4913,1131],{"className":4914},[1779,1041],[572,4916,593],{"className":4917},[615,1041]," ist falsch.",[657,4920,4921,5049,5050,4918],{},[572,4922,4924,4946],{"className":4923},[575],[572,4925,4927],{"className":4926},[579],[581,4928,4929],{"xmlns":583},[585,4930,4931,4943],{},[588,4932,4933],{},[1111,4934,4935,4937],{},[591,4936,593],{},[970,4938,4939,4941],{},[633,4940,635],{},[591,4942,686],{},[595,4944,4945],{"encoding":597},"\\frac{1}{x^2}",[572,4947,4949],{"className":4948,"ariaHidden":602},[601],[572,4950,4952,4955],{"className":4951},[606],[572,4953],{"className":4954,"style":1146},[610],[572,4956,4958,4961,5046],{"className":4957},[615],[572,4959],{"className":4960},[999,1153],[572,4962,4964],{"className":4963},[1111],[572,4965,4967,5038],{"className":4966},[1017,1160],[572,4968,4970,5035],{"className":4969},[1021],[572,4971,4973,5013,5021],{"className":4972,"style":1167},[1025],[572,4974,4975,4978],{"style":1170},[572,4976],{"className":4977,"style":1174},[1033],[572,4979,4981],{"className":4980},[1038,1039,1040,1041],[572,4982,4984],{"className":4983},[615,1041],[572,4985,4987,4990],{"className":4986},[615,1041],[572,4988,635],{"className":4989},[615,651,1041],[572,4991,4993],{"className":4992},[1013],[572,4994,4996],{"className":4995},[1017],[572,4997,4999],{"className":4998},[1021],[572,5000,5002],{"className":5001,"style":1199},[1025],[572,5003,5004,5007],{"style":1202},[572,5005],{"className":5006,"style":1206},[1033],[572,5008,5010],{"className":5009},[1038,1210,1211,1041],[572,5011,686],{"className":5012},[615,1041],[572,5014,5015,5018],{"style":1217},[572,5016],{"className":5017,"style":1174},[1033],[572,5019],{"className":5020,"style":1225},[1224],[572,5022,5023,5026],{"style":1228},[572,5024],{"className":5025,"style":1174},[1033],[572,5027,5029],{"className":5028},[1038,1039,1040,1041],[572,5030,5032],{"className":5031},[615,1041],[572,5033,593],{"className":5034},[615,1041],[572,5036,1245],{"className":5037},[1244],[572,5039,5041],{"className":5040},[1021],[572,5042,5044],{"className":5043,"style":1252},[1025],[572,5045],{},[572,5047],{"className":5048},[1006,1153]," ableiten, indem man nur den Nenner ableitet: ",[572,5051,5053,5075],{"className":5052},[575],[572,5054,5056],{"className":5055},[579],[581,5057,5058],{"xmlns":583},[585,5059,5060,5072],{},[588,5061,5062],{},[1111,5063,5064,5066],{},[591,5065,593],{},[588,5067,5068,5070],{},[591,5069,686],{},[633,5071,635],{},[595,5073,5074],{"encoding":597},"\\frac{1}{2x}",[572,5076,5078],{"className":5077,"ariaHidden":602},[601],[572,5079,5081,5084],{"className":5080},[606],[572,5082],{"className":5083,"style":1146},[610],[572,5085,5087,5090,5152],{"className":5086},[615],[572,5088],{"className":5089},[999,1153],[572,5091,5093],{"className":5092},[1111],[572,5094,5096,5144],{"className":5095},[1017,1160],[572,5097,5099,5141],{"className":5098},[1021],[572,5100,5102,5119,5127],{"className":5101,"style":1167},[1025],[572,5103,5104,5107],{"style":1170},[572,5105],{"className":5106,"style":1174},[1033],[572,5108,5110],{"className":5109},[1038,1039,1040,1041],[572,5111,5113,5116],{"className":5112},[615,1041],[572,5114,686],{"className":5115},[615,1041],[572,5117,635],{"className":5118},[615,651,1041],[572,5120,5121,5124],{"style":1217},[572,5122],{"className":5123,"style":1174},[1033],[572,5125],{"className":5126,"style":1225},[1224],[572,5128,5129,5132],{"style":1228},[572,5130],{"className":5131,"style":1174},[1033],[572,5133,5135],{"className":5134},[1038,1039,1040,1041],[572,5136,5138],{"className":5137},[615,1041],[572,5139,593],{"className":5140},[615,1041],[572,5142,1245],{"className":5143},[1244],[572,5145,5147],{"className":5146},[1021],[572,5148,5150],{"className":5149,"style":1252},[1025],[572,5151],{},[572,5153],{"className":5154},[1006,1153],{"title":5156,"searchDepth":5157,"depth":5157,"links":5158},"",2,[5159,5160,5161,5162],{"id":561,"depth":5157,"text":562},{"id":1539,"depth":5157,"text":1540},{"id":2618,"depth":5157,"text":2619},{"id":4200,"depth":5157,"text":4201},[5164,5166,5168,5170,5173,5175],{"lhs":5165,"rhs":816},"round(((x+1e-5)^n - (x-1e-5)^n)\u002F(2e-5) - n*x^(n-1), 6)",{"lhs":5167,"rhs":2717},"5*2^4",{"lhs":5169,"rhs":2717},"round(((2+1e-5)^5 - (2-1e-5)^5)\u002F(2e-5), 6)",{"lhs":5171,"rhs":5172},"-2*x^(-3)","-2\u002Fx^3",{"lhs":5174,"rhs":816},"round(((x+1e-5)^(-2) - (x-1e-5)^(-2))\u002F(2e-5) + 2\u002Fx^3, 6)",{"lhs":5176,"rhs":5177},"0.5*x^(-0.5)","1\u002F(2*sqrt(x))","n \\in \\mathbb{N},\\ n \\geq 1\\colon x \\in \\mathbb{R};\\quad n \\in \\mathbb{Z}\\colon x \\neq 0;\\quad n \\in \\mathbb{R}\\colon x > 0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">N\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\in \\mathbb{N},\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:0.5782em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">N\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>≥\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmspace>\u003C\u002Fmspace>\u003Cmspace width=\"0.1111em\"\u002F>\u003Cmo lspace=\"0em\" rspace=\"0.17em\">\u003C\u002Fmo>\u003Cmtext> ⁣\u003C\u002Fmtext>\u003Cmo lspace=\"0em\" rspace=\"0em\">:\u003C\u002Fmo>\u003Cmspace width=\"0.3333em\"\u002F>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">R\u003C\u002Fmi>\u003Cmo separator=\"true\">;\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\geq 1\\colon x \\in \\mathbb{R};\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:0.7719em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord 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mathbb\">Z\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1111em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:-0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">:\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.3333em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-fix\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mpunct\">;\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">R\u003C\u002Fmi>\u003Cmspace>\u003C\u002Fmspace>\u003Cmspace 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