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250\\pi\\,\\text{cm}^3",[568,1849,1851,1870,1922],{"className":1850,"ariaHidden":603},[627],[568,1852,1854,1858,1861,1864,1867],{"className":1853},[631],[568,1855],{"className":1856,"style":1857},[635],"height:0.6833em;",[568,1859,1813],{"className":1860,"style":962},[640,641],[568,1862],{"className":1863,"style":895},[705],[568,1865,846],{"className":1866},[899],[568,1868],{"className":1869,"style":895},[705],[568,1871,1873,1877,1880,1910,1913,1916,1919],{"className":1872},[631],[568,1874],{"className":1875,"style":1876},[635],"height:0.8141em;",[568,1878,1818],{"className":1879,"style":1006},[640,641],[568,1881,1883,1886],{"className":1882},[640],[568,1884,1673],{"className":1885,"style":1700},[640,641],[568,1887,1889],{"className":1888},[651],[568,1890,1892],{"className":1891},[655],[568,1893,1895],{"className":1894},[660],[568,1896,1898],{"className":1897,"style":1876},[664],[568,1899,1901,1904],{"style":1900},"top:-3.063em;margin-right:0.05em;",[568,1902],{"className":1903,"style":673},[672],[568,1905,1907],{"className":1906},[677,678,679,680],[568,1908,1826],{"className":1909},[640,680],[568,1911,1745],{"className":1912},[640,641],[568,1914],{"className":1915,"style":895},[705],[568,1917,846],{"className":1918},[899],[568,1920],{"className":1921,"style":895},[705],[568,1923,1925,1928,1931,1934,1937],{"className":1924},[631],[568,1926],{"className":1927,"style":1876},[635],[568,1929,1833],{"className":1930},[640],[568,1932,1818],{"className":1933,"style":1006},[640,641],[568,1935],{"className":1936,"style":706},[705],[568,1938,1940,1946],{"className":1939},[640],[568,1941,1943],{"className":1942},[640,1726],[568,1944,1683],{"className":1945},[640],[568,1947,1949],{"className":1948},[651],[568,1950,1952],{"className":1951},[655],[568,1953,1955],{"className":1954},[660],[568,1956,1958],{"className":1957,"style":1876},[664],[568,1959,1960,1963],{"style":1900},[568,1961],{"className":1962,"style":673},[672],[568,1964,1966],{"className":1965},[677,678,679,680],[568,1967,1844],{"className":1968},[640,680],". Wie ändert sich das Volumen, wenn ",[568,1971,1973,1986],{"className":1972},[571],[568,1974,1976],{"className":1975},[575],[577,1977,1978],{"xmlns":579},[581,1979,1980,1984],{},[584,1981,1982],{},[587,1983,1673],{},[620,1985,1673],{"encoding":622},[568,1987,1989],{"className":1988,"ariaHidden":603},[627],[568,1990,1992,1995],{"className":1991},[631],[568,1993],{"className":1994,"style":1696},[635],[568,1996,1673],{"className":1997,"style":1700},[640,641]," um ",[568,2000,2002,2021],{"className":2001},[571],[568,2003,2005],{"className":2004},[575],[577,2006,2007],{"xmlns":579},[581,2008,2009,2018],{},[584,2010,2011,2014,2016],{},[597,2012,2013],{},"0,1",[854,2015,856],{},[854,2017,1683],{},[620,2019,2020],{"encoding":622},"0{,}1\\,\\text{cm}",[568,2022,2024],{"className":2023,"ariaHidden":603},[627],[568,2025,2027,2031,2035,2041,2044,2047],{"className":2026},[631],[568,2028],{"className":2029,"style":2030},[635],"height:0.8389em;vertical-align:-0.1944em;",[568,2032,2034],{"className":2033},[640],"0",[568,2036,2038],{"className":2037},[640],[568,2039,604],{"className":2040},[701],[568,2042,599],{"className":2043},[640],[568,2045],{"className":2046,"style":706},[705],[568,2048,2050],{"className":2049},[640,1726],[568,2051,1683],{"className":2052},[640]," und ",[568,2055,2057,2070],{"className":2056},[571],[568,2058,2060],{"className":2059},[575],[577,2061,2062],{"xmlns":579},[581,2063,2064,2068],{},[584,2065,2066],{},[587,2067,1745],{},[620,2069,1745],{"encoding":622},[568,2071,2073],{"className":2072,"ariaHidden":603},[627],[568,2074,2076,2079],{"className":2075},[631],[568,2077],{"className":2078,"style":1767},[635],[568,2080,1745],{"className":2081},[640,641],[568,2083,2085,2104],{"className":2084},[571],[568,2086,2088],{"className":2087},[575],[577,2089,2090],{"xmlns":579},[581,2091,2092,2101],{},[584,2093,2094,2097,2099],{},[597,2095,2096],{},"0,2",[854,2098,856],{},[854,2100,1683],{},[620,2102,2103],{"encoding":622},"0{,}2\\,\\text{cm}",[568,2105,2107],{"className":2106,"ariaHidden":603},[627],[568,2108,2110,2113,2116,2122,2125,2128],{"className":2109},[631],[568,2111],{"className":2112,"style":2030},[635],[568,2114,2034],{"className":2115},[640],[568,2117,2119],{"className":2118},[640],[568,2120,604],{"className":2121},[701],[568,2123,1826],{"className":2124},[640],[568,2126],{"className":2127,"style":706},[705],[568,2129,2131],{"className":2130},[640,1726],[568,2132,1683],{"className":2133},[640]," wächst?",[568,2136,2138],{"className":2137},[1195],[568,2139,2141,2242],{"className":2140},[571],[568,2142,2144],{"className":2143},[575],[577,2145,2146],{"xmlns":579,"display":1204},[581,2147,2148,2239],{},[584,2149,2150,2152,2154,2156,2158,2160,2162,2164,2166,2168,2170,2172,2174,2180,2182,2184,2186,2188,2190,2192,2195,2197,2199,2201,2203,2205,2207,2209,2211,2214,2216,2218,2220,2223,2225,2228,2231,2233],{},[587,2151,589],{},[587,2153,1813],{},[601,2155,846],{},[597,2157,1826],{},[587,2159,1818],{},[587,2161,1673],{},[587,2163,1745],{},[854,2165,856],{},[587,2167,589],{},[587,2169,1673],{},[601,2171,863],{},[587,2173,1818],{},[1820,2175,2176,2178],{},[587,2177,1673],{},[597,2179,1826],{},[854,2181,856],{},[587,2183,589],{},[587,2185,1745],{},[601,2187,846],{},[597,2189,1826],{},[587,2191,1818],{},[601,2193,2194],{},"⋅",[597,2196,1678],{},[601,2198,2194],{},[597,2200,1750],{},[601,2202,2194],{},[597,2204,2013],{},[601,2206,863],{},[587,2208,1818],{},[601,2210,2194],{},[597,2212,2213],{},"25",[601,2215,2194],{},[597,2217,2096],{},[601,2219,846],{},[597,2221,2222],{},"15",[587,2224,1818],{},[601,2226,2227],{},"≈",[597,2229,2230],{},"47,12",[854,2232,856],{},[1820,2234,2235,2237],{},[854,2236,1683],{},[597,2238,1844],{},[620,2240,2241],{"encoding":622},"dV = 2\\pi r h\\,dr + \\pi r^2\\,dh = 2\\pi \\cdot 5 \\cdot 10 \\cdot 0{,}1 + \\pi \\cdot 25 \\cdot 0{,}2 = 15\\pi \\approx 47{,}12\\,\\text{cm}^3",[568,2243,2245,2266,2303,2361,2382,2400,2418,2445,2464,2482,2509,2530],{"className":2244,"ariaHidden":603},[627],[568,2246,2248,2251,2254,2257,2260,2263],{"className":2247},[631],[568,2249],{"className":2250,"style":1767},[635],[568,2252,589],{"className":2253},[640,641],[568,2255,1813],{"className":2256,"style":962},[640,641],[568,2258],{"className":2259,"style":895},[705],[568,2261,846],{"className":2262},[899],[568,2264],{"className":2265,"style":895},[705],[568,2267,2269,2273,2276,2279,2282,2285,2288,2291,2294,2297,2300],{"className":2268},[631],[568,2270],{"className":2271,"style":2272},[635],"height:0.7778em;vertical-align:-0.0833em;",[568,2274,1826],{"className":2275},[640],[568,2277,1818],{"className":2278,"style":1006},[640,641],[568,2280,1673],{"className":2281,"style":1700},[640,641],[568,2283,1745],{"className":2284},[640,641],[568,2286],{"className":2287,"style":706},[705],[568,2289,589],{"className":2290},[640,641],[568,2292,1673],{"className":2293,"style":1700},[640,641],[568,2295],{"className":2296,"style":962},[705],[568,2298,863],{"className":2299},[966],[568,2301],{"className":2302,"style":962},[705],[568,2304,2306,2310,2313,2343,2346,2349,2352,2355,2358],{"className":2305},[631],[568,2307],{"className":2308,"style":2309},[635],"height:0.8641em;",[568,2311,1818],{"className":2312,"style":1006},[640,641],[568,2314,2316,2319],{"className":2315},[640],[568,2317,1673],{"className":2318,"style":1700},[640,641],[568,2320,2322],{"className":2321},[651],[568,2323,2325],{"className":2324},[655],[568,2326,2328],{"className":2327},[660],[568,2329,2331],{"className":2330,"style":2309},[664],[568,2332,2334,2337],{"style":2333},"top:-3.113em;margin-right:0.05em;",[568,2335],{"className":2336,"style":673},[672],[568,2338,2340],{"className":2339},[677,678,679,680],[568,2341,1826],{"className":2342},[640,680],[568,2344],{"className":2345,"style":706},[705],[568,2347,589],{"className":2348},[640,641],[568,2350,1745],{"className":2351},[640,641],[568,2353],{"className":2354,"style":895},[705],[568,2356,846],{"className":2357},[899],[568,2359],{"className":2360,"style":895},[705],[568,2362,2364,2367,2370,2373,2376,2379],{"className":2363},[631],[568,2365],{"className":2366,"style":1716},[635],[568,2368,1826],{"className":2369},[640],[568,2371,1818],{"className":2372,"style":1006},[640,641],[568,2374],{"className":2375,"style":962},[705],[568,2377,2194],{"className":2378},[966],[568,2380],{"className":2381,"style":962},[705],[568,2383,2385,2388,2391,2394,2397],{"className":2384},[631],[568,2386],{"className":2387,"style":1716},[635],[568,2389,1678],{"className":2390},[640],[568,2392],{"className":2393,"style":962},[705],[568,2395,2194],{"className":2396},[966],[568,2398],{"className":2399,"style":962},[705],[568,2401,2403,2406,2409,2412,2415],{"className":2402},[631],[568,2404],{"className":2405,"style":1716},[635],[568,2407,1750],{"className":2408},[640],[568,2410],{"className":2411,"style":962},[705],[568,2413,2194],{"className":2414},[966],[568,2416],{"className":2417,"style":962},[705],[568,2419,2421,2424,2427,2433,2436,2439,2442],{"className":2420},[631],[568,2422],{"className":2423,"style":2030},[635],[568,2425,2034],{"className":2426},[640],[568,2428,2430],{"className":2429},[640],[568,2431,604],{"className":2432},[701],[568,2434,599],{"className":2435},[640],[568,2437],{"className":2438,"style":962},[705],[568,2440,863],{"className":2441},[966],[568,2443],{"className":2444,"style":962},[705],[568,2446,2448,2452,2455,2458,2461],{"className":2447},[631],[568,2449],{"className":2450,"style":2451},[635],"height:0.4445em;",[568,2453,1818],{"className":2454,"style":1006},[640,641],[568,2456],{"className":2457,"style":962},[705],[568,2459,2194],{"className":2460},[966],[568,2462],{"className":2463,"style":962},[705],[568,2465,2467,2470,2473,2476,2479],{"className":2466},[631],[568,2468],{"className":2469,"style":1716},[635],[568,2471,2213],{"className":2472},[640],[568,2474],{"className":2475,"style":962},[705],[568,2477,2194],{"className":2478},[966],[568,2480],{"className":2481,"style":962},[705],[568,2483,2485,2488,2491,2497,2500,2503,2506],{"className":2484},[631],[568,2486],{"className":2487,"style":2030},[635],[568,2489,2034],{"className":2490},[640],[568,2492,2494],{"className":2493},[640],[568,2495,604],{"className":2496},[701],[568,2498,1826],{"className":2499},[640],[568,2501],{"className":2502,"style":895},[705],[568,2504,846],{"className":2505},[899],[568,2507],{"className":2508,"style":895},[705],[568,2510,2512,2515,2518,2521,2524,2527],{"className":2511},[631],[568,2513],{"className":2514,"style":1716},[635],[568,2516,2222],{"className":2517},[640],[568,2519,1818],{"className":2520,"style":1006},[640,641],[568,2522],{"className":2523,"style":895},[705],[568,2525,2227],{"className":2526},[899],[568,2528],{"className":2529,"style":895},[705],[568,2531,2533,2537,2541,2547,2551,2554],{"className":2532},[631],[568,2534],{"className":2535,"style":2536},[635],"height:1.0585em;v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ist ",[568,2590,2592,2653],{"className":2591},[571],[568,2593,2595],{"className":2594},[575],[577,2596,2597],{"xmlns":579},[581,2598,2599,2650],{},[584,2600,2601,2603,2605,2607,2609,2611,2618,2620,2623,2626,2628,2630,2632,2635,2637,2639,2642,2644],{},[587,2602,1083],{"mathvariant":1082},[587,2604,1813],{},[601,2606,846],{},[587,2608,1818],{},[601,2610,2194],{},[1820,2612,2613,2616],{},[597,2614,2615],{},"5,1",[597,2617,1826],{},[601,2619,2194],{},[597,2621,2622],{},"10,2",[601,2624,2625],{},"−",[597,2627,1833],{},[587,2629,1818],{},[601,2631,846],{},[597,2633,2634],{},"15,302",[587,2636,1818],{},[601,2638,2227],{},[597,2640,2641],{},"48,07",[854,2643,856],{},[1820,2645,2646,2648],{},[854,2647,1683],{},[597,2649,1844],{},[620,2651,2652],{"encoding":622},"\\Delta V = \\pi \\cdot 5{,}1^2 \\cdot 10{,}2 - 250\\pi = 15{,}302\\pi \\approx 48{,}07\\,\\text{cm}^3",[568,2654,2656,2677,2695,2749,2776,2797,2828],{"className":2655,"ariaHidden":603},[627],[568,2657,2659,2662,2665,2668,2671,2674],{"className":2658},[631],[568,2660],{"className":2661,"style":1857},[635],[568,2663,1083],{"className":2664},[640],[568,2666,1813],{"className":2667,"style":962},[640,641],[568,2669],{"className":2670,"style":895},[705],[568,2672,846],{"className":2673},[899],[568,2675],{"className":2676,"style":895},[705],[568,2678,2680,2683,2686,2689,2692],{"className":2679},[631],[568,2681],{"className":2682,"style":2451},[635],[568,2684,1818],{"className":2685,"style":1006},[640,641],[568,2687],{"className":2688,"style":962},[705],[568,2690,2194],{"className":2691},[966],[568,2693],{"className":2694,"style":962},[705],[568,2696,2698,2702,2705,2711,2740,2743,2746],{"className":2697},[631],[568,2699],{"className":2700,"style":2701},[635],"height:1.0085em;vertical-align:-0.1944em;",[568,2703,1678],{"className":2704},[640],[568,2706,2708],{"className":2707},[640],[568,2709,604],{"className":2710},[701],[568,2712,2714,2717],{"className":2713},[640],[568,2715,599],{"className":2716},[640],[568,2718,2720],{"className":2719},[651],[568,2721,2723],{"className":2722},[655],[568,2724,2726],{"className":2725},[660],[568,2727,2729],{"className":2728,"style":1876},[664],[568,2730,2731,2734],{"style":1900},[568,2732],{"className":2733,"style":673},[672],[568,2735,2737],{"className":2736},[677,678,679,680],[568,2738,1826],{"className":2739},[640,680],[568,2741],{"className":2742,"style":962},[705],[568,2744,2194],{"className":2745},[966],[568,2747],{"className":2748,"style":962},[705],[568,2750,2752,2755,2758,2764,2767,2770,2773],{"className":2751},[631],[568,2753],{"className":2754,"style":2030},[635],[568,2756,1750],{"className":2757},[640],[568,2759,2761],{"className":2760},[640],[568,2762,604],{"className":2763},[701],[568,2765,1826],{"className":2766},[640],[568,2768],{"className":2769,"style":962},[705],[568,2771,2625],{"className":2772},[966],[568,2774],{"className":2775,"style":962},[705],[568,2777,2779,2782,2785,2788,2791,2794],{"className":2778},[631],[568,2780],{"className":2781,"style":1716},[635],[568,2783,1833],{"className":2784},[640],[568,2786,1818],{"className":2787,"style":1006},[640,641],[568,2789],{"className":2790,"style":895},[705],[568,2792,846],{"className":2793},[899],[568,2795],{"className":2796,"style":895},[705],[568,2798,2800,2803,2806,2812,2816,2819,2822,2825],{"className":2799},[631],[568,2801],{"className":2802,"style":2030},[635],[568,2804,2222],{"className":2805},[640],[568,2807,2809],{"className":2808},[640],[568,2810,604],{"className":2811},[701],[568,2813,2815],{"className":2814},[640],"302",[568,2817,1818],{"className":2818,"style":1006},[640,641],[568,2820],{"className":2821,"style":895},[705],[568,2823,2227],{"className":2824},[899],[568,2826],{"className":2827,"style":895},[705],[568,2829,2831,2834,2838,2844,2848,2851],{"className":2830},[631],[568,2832],{"className":2833,"style":2701},[635],[568,2835,2837],{"className":2836},[640],"48",[568,2839,2841],{"className":2840},[640],[568,2842,604],{"className":2843},[701],[568,2845,2847],{"className":2846},[640],"07",[568,2849],{"className":2850,"style":706},[705],[568,2852,2854,2860],{"className":2853},[640],[568,2855,2857],{"className":2856},[640,1726],[568,2858,1683],{"className":2859},[640],[568,2861,2863],{"className":2862},[651],[568,2864,2866],{"className":2865},[655],[568,2867,2869],{"className":2868},[660],[568,2870,2872],{"className":2871,"style":1876},[664],[568,2873,2874,2877],{"style":1900},[568,2875],{"className":2876,"style":673},[672],[568,2878,2880],{"className":2879},[677,678,679,680],[568,2881,1844],{"className":2882},[640,680],". Die Näherung liegt also nah am exakten Wert.",[564,2885,2886,2887,3172,3173,3485],{},"Als relativer Fehler: ",[568,2888,2890,2943],{"className":2889},[571],[568,2891,2893],{"className":2892},[575],[577,2894,2895],{"xmlns":579},[581,2896,2897,2940],{},[584,2898,2899,2909,2911,2925,2927,2930,2932,2935,2937],{},[1242,2900,2901,2907],{},[584,2902,2903,2905],{},[587,2904,589],{},[587,2906,1813],{},[587,2908,1813],{},[601,2910,846],{},[1242,2912,2913,2919],{},[584,2914,2915,2917],{},[597,2916,2222],{},[587,2918,1818],{},[584,2920,2921,2923],{},[597,2922,1833],{},[587,2924,1818],{},[601,2926,846],{},[597,2928,2929],{},"0,06",[601,2931,846],{},[597,2933,2934],{},"6",[854,2936,856],{},[587,2938,2939],{"mathvariant":1082},"%",[620,2941,2942],{"encoding":622},"\\frac{dV}{V} = \\frac{15\\pi}{250\\pi} = 0{,}06 = 6\\,\\%",[568,2944,2946,3037,3128,3156],{"className":2945,"ariaHidden":603},[627],[568,2947,2949,2953,3028,3031,3034],{"className":2948},[631],[568,2950],{"className":2951,"style":2952},[635],"height:1.2251em;vertical-align:-0.345em;",[568,2954,2956,2959,3025],{"className":2955},[640],[568,2957],{"className":2958},[1401,1456],[568,2960,2962],{"className":2961},[1242],[568,2963,2965,3016],{"className":2964},[655,656],[568,2966,2968,3013],{"className":2967},[660],[568,2969,2972,2987,2995],{"className":2970,"style":2971},[664],"height:0.8801em;",[568,2973,2975,2978],{"style":2974},"top:-2.655em;",[568,2976],{"className":2977,"style":1476},[672],[568,2979,2981],{"className":2980},[677,678,679,680],[568,2982,2984],{"className":2983},[640,680],[568,2985,1813],{"className":2986,"style":962},[640,641,680],[568,2988,2989,2992],{"style":1526},[568,2990],{"className":2991,"style":1476},[672],[568,2993],{"className":2994,"style":1534},[1533],[568,2996,2998,3001],{"style":2997},"top:-3.394em;",[568,2999],{"className":3000,"style":1476},[672],[568,3002,3004],{"className":3003},[677,678,679,680],[568,3005,3007,3010],{"className":3006},[640,680],[568,3008,589],{"className":3009},[640,641,680],[568,3011,1813],{"className":3012,"style":962},[640,641,680],[568,3014,688],{"className":3015},[687],[568,3017,3019],{"className":3018},[660],[568,3020,3023],{"className":3021,"style":3022},[664],"height:0.345em;",[568,3024],{},[568,3026],{"className":3027},[1565,1456],[568,3029],{"className":3030,"style":895},[705],[568,3032,846],{"className":3033},[899],[568,3035],{"className":3036,"style":895},[705],[568,3038,3040,3044,3119,3122,3125],{"className":3039},[631],[568,3041],{"className":3042,"style":3043},[635],"height:1.1901em;vertical-align:-0.345em;",[568,3045,3047,3050,3116],{"className":3046},[640],[568,3048],{"className":3049},[1401,1456],[568,3051,3053],{"className":3052},[1242],[568,3054,3056,3108],{"className":3055},[655,656],[568,3057,3059,3105],{"className":3058},[660],[568,3060,3063,3080,3088],{"className":3061,"style":3062},[664],"height:0.8451em;",[568,3064,3065,3068],{"style":2974},[568,3066],{"className":3067,"style":1476},[672],[568,3069,3071],{"className":3070},[677,678,679,680],[568,3072,3074,3077],{"className":3073},[640,680],[568,3075,1833],{"className":3076},[640,680],[568,3078,1818],{"className":3079,"style":1006},[640,641,680],[568,3081,3082,3085],{"style":1526},[568,3083],{"className":3084,"style":1476},[672],[568,3086],{"className":3087,"style":1534},[1533],[568,3089,3090,3093],{"style":2997},[568,3091],{"className":3092,"style":1476},[672],[568,3094,3096],{"className":3095},[677,678,679,680],[568,3097,3099,3102],{"className":3098},[640,680],[568,3100,2222],{"className":3101},[640,680],[568,3103,1818],{"className":3104,"style":1006},[640,641,680],[568,3106,688],{"className":3107},[687],[568,3109,3111],{"className":3110},[660],[568,3112,3114],{"className":3113,"style":3022},[664],[568,3115],{},[568,3117],{"className":3118},[1565,1456],[568,3120],{"className":3121,"style":895},[705],[568,3123,846],{"className":3124},[899],[568,3126],{"className":3127,"style":895},[705],[568,3129,3131,3134,3137,3143,3147,3150,3153],{"className":3130},[631],[568,3132],{"className":3133,"style":2030},[635],[568,3135,2034],{"className":3136},[640],[568,3138,3140],{"className":3139},[640],[568,3141,604],{"className":3142},[701],[568,3144,3146],{"className":3145},[640],"06",[568,3148],{"className":3149,"style":895},[705],[568,3151,846],{"className":3152},[899],[568,3154],{"className":3155,"style":895},[705],[568,3157,3159,3163,3166,3169],{"className":3158},[631],[568,3160],{"className":3161,"style":3162},[635],"height:0.8056em;vertical-align:-0.0556em;",[568,3164,2934],{"className":3165},[640],[568,3167],{"className":3168,"style":706},[705],[568,3170,2939],{"className":3171},[640],". Das entspricht ",[568,3174,3176,3234],{"className":3175},[571],[568,3177,3179],{"className":3178},[575],[577,3180,3181],{"xmlns":579},[581,3182,3183,3231],{},[584,3184,3185,3187,3189,3199,3201,3211,3213,3215,3217,3219,3221,3223,3225,3227,3229],{},[597,3186,1826],{},[601,3188,2194],{},[1242,3190,3191,3197],{},[584,3192,3193,3195],{},[587,3194,589],{},[587,3196,1673],{},[587,3198,1673],{},[601,3200,863],{},[1242,3202,3203,3209],{},[584,3204,3205,3207],{},[587,3206,589],{},[587,3208,1745],{},[587,3210,1745],{},[601,3212,846],{},[597,3214,1826],{},[601,3216,2194],{},[597,3218,1826],{},[854,3220,856],{},[587,3222,2939],{"mathvariant":1082},[601,3224,863],{},[597,3226,1826],{},[854,3228,856],{},[587,3230,2939],{"mathvariant":1082},[620,3232,3233],{"encoding":622},"2 \\cdot \\frac{dr}{r} + \\frac{dh}{h} = 2 \\cdot 2\\,\\% + 2\\,\\%",[568,3235,3237,3255,3341,3427,3445,3470],{"className":3236,"ariaHidden":603},[627],[568,3238,3240,3243,3246,3249,3252],{"className":3239},[631],[568,3241],{"className":3242,"style":1716},[635],[568,3244,1826],{"className":3245},[640],[568,3247],{"className":3248,"style":962},[705],[568,3250,2194],{"className":3251},[966],[568,3253],{"className":3254,"style":962},[705],[568,3256,3258,3261,3332,3335,3338],{"className":3257},[631],[568,3259],{"className":3260,"style":2952},[635],[568,3262,3264,3267,3329],{"className":3263},[640],[568,3265],{"className":3266},[1401,1456],[568,3268,3270],{"className":3269},[1242],[568,3271,3273,3321],{"className":3272},[655,656],[568,3274,3276,3318],{"className":3275},[660],[568,3277,3279,3293,3301],{"className":3278,"style":2971},[664],[568,3280,3281,3284],{"style":2974},[568,3282],{"className":3283,"style":1476},[672],[568,3285,3287],{"className":3286},[677,678,679,680],[568,3288,3290],{"className":3289},[640,680],[568,3291,1673],{"className":3292,"style":1700},[640,641,680],[568,3294,3295,3298],{"style":1526},[568,3296],{"className":3297,"style":1476},[672],[568,3299],{"className":3300,"style":1534},[1533],[568,3302,3303,3306],{"style":2997},[568,3304],{"className":3305,"style":1476},[672],[568,3307,3309],{"className":3308},[677,678,679,680],[568,3310,3312,3315],{"className":3311},[640,680],[568,3313,589],{"className":3314},[640,641,680],[568,3316,1673],{"className":3317,"style":1700},[640,641,680],[568,3319,688],{"className":3320},[687],[568,3322,3324],{"className":3323},[660],[568,3325,3327],{"className":3326,"style":3022},[664],[568,3328],{},[568,3330],{"className":3331},[1565,1456],[568,3333],{"className":3334,"style":962},[705],[568,3336,863],{"className":3337},[966],[568,3339],{"className":3340,"style":962},[705],[568,3342,3344,3347,3418,3421,3424],{"className":3343},[631],[568,3345],{"className":3346,"style":2952},[635],[568,3348,3350,3353,3415],{"className":3349},[640],[568,3351],{"className":3352},[1401,1456],[568,3354,3356],{"className":3355},[1242],[568,3357,3359,3407],{"className":3358},[655,656],[568,3360,3362,3404],{"className":3361},[660],[568,3363,3365,3379,3387],{"className":3364,"style":2971},[664],[568,3366,3367,3370],{"style":2974},[568,3368],{"className":3369,"style":1476},[672],[568,3371,3373],{"className":3372},[677,678,679,680],[568,3374,3376],{"className":3375},[640,680],[568,3377,1745],{"className":3378},[640,641,680],[568,3380,3381,3384],{"style":1526},[568,3382],{"className":3383,"style":1476},[672],[568,3385],{"className":3386,"style":1534},[1533],[568,3388,3389,3392],{"style":2997},[568,3390],{"className":3391,"style":1476},[672],[568,3393,3395],{"className":3394},[677,678,679,680],[568,3396,3398,3401],{"className":3397},[640,680],[568,3399,589],{"className":3400},[640,641,680],[568,3402,1745],{"className":3403},[640,641,680],[568,3405,688],{"className":3406},[687],[568,3408,3410],{"className":3409},[660],[568,3411,3413],{"className":3412,"style":3022},[664],[568,3414],{},[568,3416],{"className":3417},[1565,1456],[568,3419],{"className":3420,"style":895},[705],[568,3422,846],{"className":3423},[899],[568,3425],{"className":3426,"style":895},[705],[568,3428,3430,3433,3436,3439,3442],{"className":3429},[631],[568,3431],{"className":3432,"style":1716},[635],[568,3434,1826],{"className":3435},[640],[568,3437],{"className":3438,"style":962},[705],[568,3440,2194],{"className":3441},[966],[568,3443],{"className":3444,"style":962},[705],[568,3446,3448,3452,3455,3458,3461,3464,3467],{"className":3447},[631],[568,3449],{"className":3450,"style":3451},[635],"height:0.8333em;vertical-align:-0.0833em;",[568,3453,1826],{"className":3454},[640],[568,3456],{"className":3457,"style":706},[705],[568,3459,2939],{"className":3460},[640],[568,3462],{"className":3463,"style":962},[705],[568,3465,863],{"className":3466},[966],[568,3468],{"className":3469,"style":962},[705],[568,3471,3473,3476,3479,3482],{"className":3472},[631],[568,3474],{"className":3475,"style":3162},[635],[568,3477,1826],{"className":3478},[640],[568,3480],{"className":3481,"style":706},[705],[568,3483,2939],{"className":3484},[640],": Der Radius geht wegen des Quadrats doppelt ein.",[559,3487,3489],{"id":3488},"typische-fehler","Typische Fehler",[3491,3492,3493,3497,3606],"ul",{},[3494,3495,3496],"li",{},"Bei der Fehlerabschätzung Beträge vergessen. Fehler mit verschiedenen Vorzeichen heben sich sonst scheinbar auf, und der maximale Fehler wird unterschätzt.",[3494,3498,3499,3529,3530,1028],{},[568,3500,3502,3517],{"className":3501},[571],[568,3503,3505],{"className":3504},[575],[577,3506,3507],{"xmlns":579},[581,3508,3509,3515],{},[584,3510,3511,3513],{},[587,3512,589],{},[587,3514,779],{},[620,3516,814],{"encoding":622},[568,3518,3520],{"className":3519,"ariaHidden":603},[627],[568,3521,3523,3526],{"className":3522},[631],[568,3524],{"className":3525,"style":636},[635],[568,3527,814],{"className":3528,"style":794},[640,641]," für große Änderungen verwenden. Die Näherung gilt nur für kleine ",[568,3531,3533,3553],{"className":3532},[571],[568,3534,3536],{"className":3535},[575],[577,3537,3538],{"xmlns":579},[581,3539,3540,3550],{},[584,3541,3542,3544],{},[587,3543,589],{},[591,3545,3546,3548],{},[587,3547,595],{},[587,3549,1132],{},[620,3551,3552],{"encoding":622},"dx_k",[568,3554,3556],{"className":3555,"ariaHidden":603},[627],[568,3557,3559,3563,3566],{"className":3558},[631],[568,3560],{"className":3561,"style":3562},[635],"height:0.8444em;vertical-align:-0.15em;",[568,3564,589],{"className":3565},[640,641],[568,3567,3569,3572],{"className":3568},[640],[568,3570,595],{"className":3571},[640,641],[568,3573,3575],{"className":3574},[651],[568,3576,3578,3598],{"className":3577},[655,656],[568,3579,3581,3595],{"className":3580},[660],[568,3582,3584],{"className":3583,"style":1167},[664],[568,3585,3586,3589],{"style":668},[568,3587],{"className":3588,"style":673},[672],[568,3590,3592],{"className":3591},[677,678,679,680],[568,3593,1132],{"className":3594,"style":1179},[640,641,680],[568,3596,688],{"className":3597},[687],[568,3599,3601],{"className":3600},[660],[568,3602,3604],{"className":3603,"style":695},[664],[568,3605],{},[3494,3607,3608,3609,2053,3660,1028],{},"Die partiellen Ableitungen an der falschen Stelle auswerten. Sie gehören zum Ausgangspunkt, hier ",[568,3610,3612,3630],{"className":3611},[571],[568,3613,3615],{"className":3614},[575],[577,3616,3617],{"xmlns":579},[581,3618,3619,3627],{},[584,3620,3621,3623,3625],{},[587,3622,1673],{},[601,3624,846],{},[597,3626,1678],{},[620,3628,3629],{"encoding":622},"r = 5",[568,3631,3633,3651],{"className":3632,"ariaHidden":603},[627],[568,3634,3636,3639,3642,3645,3648],{"className":3635},[631],[568,3637],{"className":3638,"style":1696},[635],[568,3640,1673],{"className":3641,"style":1700},[640,641],[568,3643],{"className":3644,"style":895},[705],[568,3646,846],{"className":3647},[899],[568,3649],{"className":3650,"style":895},[705],[568,3652,3654,3657],{"className":3653},[631],[568,3655],{"className":3656,"style":1716},[635],[568,3658,1678],{"className":3659},[640],[568,3661,3663,3681],{"className":3662},[571],[568,3664,3666],{"className":3665},[575],[577,3667,3668],{"xmlns":579},[581,3669,3670,3678],{},[584,3671,3672,3674,3676],{},[587,3673,1745],{},[601,3675,846],{},[597,3677,1750],{},[620,3679,3680],{"encoding":622},"h = 10",[568,3682,3684,3702],{"className":3683,"ariaHidden":603},[627],[568,3685,3687,3690,3693,3696,3699],{"className":3686},[631],[568,3688],{"className":3689,"style":1767},[635],[568,3691,1745],{"className":3692},[640,641],[568,3694],{"className":3695,"style":895},[705],[568,3697,846],{"className":3698},[899],[568,3700],{"className":3701,"style":895},[705],[568,3703,3705,3708],{"className":3704},[631],[568,3706],{"className":3707,"style":1716},[635],[568,3709,1750],{"className":3710},[640],{"title":3712,"searchDepth":3713,"depth":3713,"links":3714},"",2,[3715,3716,3717],{"id":561,"depth":3713,"text":562},{"id":1654,"depth":3713,"text":1655},{"id":3488,"depth":3713,"text":3489},[3719,3721,3724,3727,3730,3733,3736,3739],{"lhs":3720,"rhs":2034},"round((pi*(r + 1e-5)^2*h - pi*(r - 1e-5)^2*h) \u002F (2e-5) - 2*pi*r*h, 6)",{"lhs":3722,"rhs":3723},"2*pi*5*10*0.1 + pi*5^2*0.2","15*pi",{"lhs":3725,"rhs":3726},"round(15*pi, 2)","47.12",{"lhs":3728,"rhs":3729},"pi*5.1^2*10.2 - pi*5^2*10","15.302*pi",{"lhs":3731,"rhs":3732},"round(15.302*pi, 2)","48.07",{"lhs":3734,"rhs":3735},"pi*5^2*10","250*pi",{"lhs":3737,"rhs":3738},"(15*pi) \u002F (250*pi)","0.06",{"lhs":3740,"rhs":3738},"2*0.1\u002F5 + 0.2\u002F10","f \\text{ (total) differenzierbar, z.B. stetig partiell differenzierbar}","\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\">(total) differenzierbar, z.B. stetig partiell differenzierbar\u003C\u002Fspan>",null,"md","total-differential","df = \\sum_{k=1}^{n} \\frac{\\partial f}{\\partial x_k}\\, dx_k","\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>\u003Cmi>d\u003C\u002Fmi>\u003Cmi>f\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmunderover>\u003Cmo>∑\u003C\u002Fmo>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmunderover>\u003Cmfrac>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmi>f\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003Cmtext> \u003C\u002Fmtext>\u003Cmi>d\u003C\u002Fmi>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">df = \\sum_{k=1}^{n} \\frac{\\partial f}{\\partial x_k}\\, dx_k\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;\">df\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:2.9535em;vertical-align:-1.3021em;\">\u003C\u002Fspan>\u003Cspan class=\"mop op-limits\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.6514em;\">\u003Cspan style=\"top:-1.8479em;margin-left:0em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mrel mtight\">=\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.05em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan>\u003Cspan class=\"mop op-symbol large-op\">∑\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-4.3em;margin-left:0em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\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:1.3021em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.3714em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\" style=\"margin-right:0.0556em;\">∂\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:0.3361em;\">\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 mathnormal mtight\" style=\"margin-right:0.0315em;\">k\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>\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\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f\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:0.836em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose 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style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","university",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fmultivariable-calculus\u002Ftotales-differential",[],[3754,3755,3756,3757],"partial-derivative","gradient","tangent-plane","cylinder-volume",{"title":548,"description":3712},"de\u002Fformulas\u002Fmath\u002Fmultivariable-calculus\u002Ftotales-differential","Das totale Differential schätzt die Änderung von f ab, wenn sich alle Variablen gleichzeitig ein wenig ändern.",[3762,3763,3764,3765],"totales differential","fehlerrechnung","linearisierung","partielle ableitung",[3767,3770,3774,3777],{"symbol":814,"meaning":3768,"symbolHtml":3769},"totales Differential, näherungsweise Änderung des Funktionswerts","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath 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size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3448em;\">\u003Cspan style=\"top:-2.3488em;margin-left:0em;margin-right:0.0714em;\">\u003Cspan class=\"pstrut\" style=\"height:2.5em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size3 size1 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\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:0.1512em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\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:-3.4461em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\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:0.4509em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":3552,"meaning":3775,"symbolHtml":3776},"kleine Änderung der k-ten Variablen","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>d\u003C\u002Fmi>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">dx_k\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:0.8444em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">d\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:0.3361em;\">\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 mathnormal mtight\" style=\"margin-right:0.0315em;\">k\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>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":618,"meaning":3778,"symbolHtml":3779},"Anzahl der Variablen","\u003Cspan 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