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z^4",[573,1138,1140,1168],{"className":1139,"ariaHidden":603},[602],[573,1141,1143,1146,1149,1152,1156,1159,1162,1165],{"className":1142},[607],[573,1144],{"className":1145,"style":690},[611],[573,1147,594],{"className":1148},[616,617],[573,1150,672],{"className":1151},[698],[573,1153,1123],{"className":1154,"style":1155},[616,617],"margin-right:0.044em;",[573,1157,677],{"className":1158},[705],[573,1160],{"className":1161,"style":807},[806],[573,1163,783],{"className":1164},[811],[573,1166],{"className":1167,"style":807},[806],[573,1169,1171,1174],{"className":1170},[607],[573,1172],{"className":1173,"style":1036},[611],[573,1175,1177,1180],{"className":1176},[616],[573,1178,1123],{"className":1179,"style":1155},[616,617],[573,1181,1183],{"className":1182},[1023],[573,1184,1186],{"className":1185},[1027],[573,1187,1189],{"className":1188},[1031],[573,1190,1192],{"className":1191,"style":1036},[1035],[573,1193,1194,1197],{"style":1039},[573,1195],{"className":1196,"style":1044},[1043],[573,1198,1200],{"className":1199},[1048,1049,1050,1051],[573,1201,966],{"className":1202},[616,1051]," und innen ",[573,1205,1207,1241],{"className":1206},[576],[573,1208,1210],{"className":1209},[580],[582,1211,1212],{"xmlns":584},[586,1213,1214,1238],{},[589,1215,1216,1218,1220,1222,1224,1226,1228,1234,1236],{},[592,1217,667],{},[669,1219,672],{"stretchy":671},[592,1221,637],{},[669,1223,677],{"stretchy":671},[669,1225,783],{},[731,1227,946],{},[948,1229,1230,1232],{},[592,1231,637],{},[731,1233,733],{},[669,1235,956],{},[731,1237,959],{},[596,1239,1240],{"encoding":598},"v(x) = 3x^2 + 1",[573,1242,1244,1271,1319],{"className":1243,"ariaHidden":603},[602],[573,1245,1247,1250,1253,1256,1259,1262,1265,1268],{"className":1246},[607],[573,1248],{"className":1249,"style":690},[611],[573,1251,667],{"className":1252,"style":694},[616,617],[573,1254,672],{"className":1255},[698],[573,1257,637],{"className":1258},[616,617],[573,1260,677],{"className":1261},[705],[573,1263],{"className":1264,"style":807},[806],[573,1266,783],{"className":1267},[811],[573,1269],{"className":1270,"style":807},[806],[573,1272,1274,1278,1281,1310,1313,1316],{"className":1273},[607],[573,1275],{"className":1276,"style":1277},[611],"height:0.8974em;vertical-align:-0.0833em;",[573,1279,946],{"className":1280},[616],[573,1282,1284,1287],{"className":1283},[616],[573,1285,637],{"className":1286},[616,617],[573,1288,1290],{"className":1289},[1023],[573,1291,1293],{"className":1292},[1027],[573,1294,1296],{"className":1295},[1031],[573,1297,1299],{"className":1298,"style":1036},[1035],[573,1300,1301,1304],{"style":1039},[573,1302],{"className":1303,"style":1044},[1043],[573,1305,1307],{"className":1306},[1048,1049,1050,1051],[573,1308,733],{"className":1309},[616,1051],[573,1311],{"className":1312,"style":1058},[806],[573,1314,956],{"className":1315},[1062],[573,1317],{"className":1318,"style":1058},[806],[573,1320,1322,1325],{"className":1321},[607],[573,1323],{"className":1324,"style":891},[611],[573,1326,959],{"className":1327},[616],":",[573,1330,1333],{"className":1331},[1332],"katex-display",[573,1334,1336,1464],{"className":1335},[576],[573,1337,1339],{"className":1338},[580],[582,1340,1342],{"xmlns":584,"display":1341},"block",[586,1343,1344,1461],{},[589,1345,1346,1355,1357,1359,1361,1363,1365,1369,1371,1373,1379,1381,1383,1389,1392,1395,1397,1399,1402,1404,1406,1408,1410,1416,1418,1420,1426,1429,1432,1438,1440,1442,1444,1446,1448,1450,1456,1458],{},[948,1347,1348,1350],{},[592,1349,933],{},[669,1351,1354],{"mathvariant":1352,"lspace":1353,"rspace":1353},"normal","0em","′",[669,1356,672],{"stretchy":671},[592,1358,637],{},[669,1360,677],{"stretchy":671},[669,1362,783],{},[731,1364,966],{},[1366,1367,1368],"mtext",{}," ",[669,1370,672],{"stretchy":671},[731,1372,946],{},[948,1374,1375,1377],{},[592,1376,637],{},[731,1378,733],{},[669,1380,956],{},[731,1382,959],{},[948,1384,1385,1387],{},[669,1386,677],{"stretchy":671},[731,1388,946],{},[669,1390,1391],{},"⋅",[731,1393,1394],{},"6",[592,1396,637],{},[669,1398,783],{},[731,1400,1401],{},"24",[592,1403,637],{},[1366,1405,1368],{},[669,1407,672],{"stretchy":671},[731,1409,946],{},[948,1411,1412,1414],{},[592,1413,637],{},[731,1415,733],{},[669,1417,956],{},[731,1419,959],{},[948,1421,1422,1424],{},[669,1423,677],{"stretchy":671},[731,1425,946],{},[669,1427,1428],{"separator":603},",",[806,1430],{"width":1431},"1em",[948,1433,1434,1436],{},[592,1435,933],{},[669,1437,1354],{"mathvariant":1352,"lspace":1353,"rspace":1353},[669,1439,672],{"stretchy":671},[731,1441,959],{},[669,1443,677],{"stretchy":671},[669,1445,783],{},[731,1447,1401],{},[669,1449,1391],{},[948,1451,1452,1454],{},[731,1453,966],{},[731,1455,946],{},[669,1457,783],{},[731,1459,1460],{},"1536",[596,1462,1463],{"encoding":598},"f'(x) = 4\\,(3x^2 + 1)^3 \\cdot 6x = 24x\\,(3x^2 + 1)^3, \\quad f'(1) = 24 \\cdot 4^3 = 1536",[573,1465,1467,1526,1585,1632,1653,1712,1811,1829,1873],{"className":1466,"ariaHidden":603},[602],[573,1468,1470,1474,1508,1511,1514,1517,1520,1523],{"className":1469},[607],[573,1471],{"className":1472,"style":1473},[611],"height:1.0519em;vertical-align:-0.25em;",[573,1475,1477,1480],{"className":1476},[616],[573,1478,933],{"className":1479,"style":982},[616,617],[573,1481,1483],{"className":1482},[1023],[573,1484,1486],{"className":1485},[1027],[573,1487,1489],{"className":1488},[1031],[573,1490,1493],{"className":1491,"style":1492},[1035],"height:0.8019em;",[573,1494,1496,1499],{"style":1495},"top:-3.113em;margin-right:0.05em;",[573,1497],{"className":1498,"style":1044},[1043],[573,1500,1502],{"className":1501},[1048,1049,1050,1051],[573,1503,1505],{"className":1504},[616,1051],[573,1506,1354],{"className":1507},[616,1051],[573,1509,672],{"className":1510},[698],[573,1512,637],{"className":1513},[616,617],[573,1515,677],{"className":1516},[705],[573,1518],{"className":1519,"style":807},[806],[573,1521,783],{"className":1522},[811],[573,1524],{"className":1525,"style":807},[806],[573,1527,1529,1533,1536,1540,1543,1546,1576,1579,1582],{"className":1528},[607],[573,1530],{"className":1531,"style":1532},[611],"height:1.1141em;vertical-align:-0.25em;",[573,1534,966],{"className":1535},[616],[573,1537],{"className":1538,"style":1539},[806],"margin-right:0.1667em;",[573,1541,672],{"className":1542},[698],[573,1544,946],{"className":1545},[616],[573,1547,1549,1552],{"className":1548},[616],[573,1550,637],{"className":1551},[616,617],[573,1553,1555],{"className":1554},[1023],[573,1556,1558],{"className":1557},[1027],[573,1559,1561],{"className":1560},[1031],[573,1562,1565],{"className":1563,"style":1564},[1035],"height:0.8641em;",[573,1566,1567,1570],{"style":1495},[573,1568],{"className":1569,"style":1044},[1043],[573,1571,1573],{"className":1572},[1048,1049,1050,1051],[573,1574,733],{"className":1575},[616,1051],[573,1577],{"className":1578,"style":1058},[806],[573,1580,956],{"className":1581},[1062],[573,1583],{"className":1584,"style":1058},[806],[573,1586,1588,1591,1594,1623,1626,1629],{"className":1587},[607],[573,1589],{"className":1590,"style":1532},[611],[573,1592,959],{"className":1593},[616],[573,1595,1597,1600],{"className":1596},[705],[573,1598,677],{"className":1599},[705],[573,1601,1603],{"className":1602},[1023],[573,1604,1606],{"className":1605},[1027],[573,1607,1609],{"className":1608},[1031],[573,1610,1612],{"className":1611,"style":1564},[1035],[573,1613,1614,1617],{"style":1495},[573,1615],{"className":1616,"style":1044},[1043],[573,1618,1620],{"className":1619},[1048,1049,1050,1051],[573,1621,946],{"className":1622},[616,1051],[573,1624],{"className":1625,"style":1058},[806],[573,1627,1391],{"className":1628},[1062],[573,1630],{"className":1631,"style":1058},[806],[573,1633,1635,1638,1641,1644,1647,1650],{"className":1634},[607],[573,1636],{"className":1637,"style":891},[611],[573,1639,1394],{"className":1640},[616],[573,1642,637],{"className":1643},[616,617],[573,1645],{"className":1646,"style":807},[806],[573,1648,783],{"className":1649},[811],[573,1651],{"className":1652,"style":807},[806],[573,1654,1656,1659,1662,1665,1668,1671,1674,1703,1706,1709],{"className":1655},[607],[573,1657],{"className":1658,"style":1532},[611],[573,1660,1401],{"className":1661},[616],[573,1663,637],{"className":1664},[616,617],[573,1666],{"className":1667,"style":1539},[806],[573,1669,672],{"className":1670},[698],[573,1672,946],{"className":1673},[616],[573,1675,1677,1680],{"className":1676},[616],[573,1678,637],{"className":1679},[616,617],[573,1681,1683],{"className":1682},[1023],[573,1684,1686],{"className":1685},[1027],[573,1687,1689],{"className":1688},[1031],[573,1690,1692],{"className":1691,"style":1564},[1035],[573,1693,1694,1697],{"style":1495},[573,1695],{"className":1696,"style":1044},[1043],[573,1698,1700],{"className":1699},[1048,1049,1050,1051],[573,1701,733],{"className":1702},[616,1051],[573,1704],{"className":1705,"style":1058},[806],[573,1707,956],{"className":1708},[1062],[573,1710],{"className":1711,"style":1058},[806],[573,1713,1715,1718,1721,1750,1754,1758,1761,1793,1796,1799,1802,1805,1808],{"className":1714},[607],[573,1716],{"className":1717,"style":1532},[611],[573,1719,959],{"className":1720},[616],[573,1722,1724,1727],{"className":1723},[705],[573,1725,677],{"className":1726},[705],[573,1728,1730],{"className":1729},[1023],[573,1731,1733],{"className":1732},[1027],[573,1734,1736],{"className":1735},[1031],[573,1737,1739],{"className":1738,"style":1564},[1035],[573,1740,1741,1744],{"style":1495},[573,1742],{"className":1743,"style":1044},[1043],[573,1745,1747],{"className":1746},[1048,1049,1050,1051],[573,1748,946],{"className":1749},[616,1051],[573,1751,1428],{"className":1752},[1753],"mpunct",[573,1755],{"className":1756,"style":1757},[806],"margin-right:1em;",[573,1759],{"className":1760,"style":1539},[806],[573,1762,1764,1767],{"className":1763},[616],[573,1765,933],{"className":1766,"style":982},[616,617],[573,1768,1770],{"className":1769},[1023],[573,1771,1773],{"className":1772},[1027],[573,1774,1776],{"className":1775},[1031],[573,1777,1779],{"className":1778,"style":1492},[1035],[573,1780,1781,1784],{"style":1495},[573,1782],{"className":1783,"style":1044},[1043],[573,1785,1787],{"className":1786},[1048,1049,1050,1051],[573,1788,1790],{"className":1789},[616,1051],[573,1791,1354],{"className":1792},[616,1051],[573,1794,672],{"className":1795},[698],[573,1797,959],{"className":1798},[616],[573,1800,677],{"className":1801},[705],[573,1803],{"className":1804,"style":807},[806],[573,1806,783],{"className":1807},[811],[573,1809],{"className":1810,"style":807},[806],[573,1812,1814,1817,1820,1823,1826],{"className":1813},[607],[573,1815],{"className":1816,"style":891},[611],[573,1818,1401],{"className":1819},[616],[573,1821],{"className":1822,"style":1058},[806],[573,1824,1391],{"className":1825},[1062],[573,1827],{"className":1828,"style":1058},[806],[573,1830,1832,1835,1864,1867,1870],{"className":1831},[607],[573,1833],{"className":1834,"style":1564},[611],[573,1836,1838,1841],{"className":1837},[616],[573,1839,966],{"className":1840},[616],[573,1842,1844],{"className":1843},[1023],[573,1845,1847],{"className":1846},[1027],[573,1848,1850],{"className":1849},[1031],[573,1851,1853],{"className":1852,"style":1564},[1035],[573,1854,1855,1858],{"style":1495},[573,1856],{"className":1857,"style":1044},[1043],[573,1859,1861],{"className":1860},[1048,1049,1050,1051],[573,1862,946],{"className":1863},[616,1051],[573,1865],{"className":1866,"style":807},[806],[573,1868,783],{"className":1869},[811],[573,1871],{"className":1872,"style":807},[806],[573,1874,1876,1879],{"className":1875},[607],[573,1877],{"className":1878,"style":891},[611],[573,1880,1460],{"className":1881},[616],[564,1883,1884,1104,1972,1203,2003,1328],{},[573,1885,1887,1921],{"className":1886},[576],[573,1888,1890],{"className":1889},[580],[582,1891,1892],{"xmlns":584},[586,1893,1894,1918],{},[589,1895,1896,1898,1900,1902,1904,1906,1908,1910,1912,1914,1916],{},[592,1897,933],{},[669,1899,672],{"stretchy":671},[592,1901,637],{},[669,1903,677],{"stretchy":671},[669,1905,783],{},[592,1907,724],{},[669,1909,727],{},[669,1911,672],{"stretchy":671},[731,1913,733],{},[592,1915,637],{},[669,1917,677],{"stretchy":671},[596,1919,1920],{"encoding":598},"f(x) = \\sin(2x)",[573,1922,1924,1951],{"className":1923,"ariaHidden":603},[602],[573,1925,1927,1930,1933,1936,1939,1942,1945,1948],{"className":1926},[607],[573,1928],{"className":1929,"style":690},[611],[573,1931,933],{"className":1932,"style":982},[616,617],[573,1934,672],{"className":1935},[698],[573,1937,637],{"className":1938},[616,617],[573,1940,677],{"className":1941},[705],[573,1943],{"className":1944,"style":807},[806],[573,1946,783],{"className":1947},[811],[573,1949],{"className":1950,"style":807},[806],[573,1952,1954,1957,1960,1963,1966,1969],{"className":1953},[607],[573,1955],{"className":1956,"style":690},[611],[573,1958,724],{"className":1959},[753],[573,1961,672],{"className":1962},[698],[573,1964,733],{"className":1965},[616],[573,1967,637],{"className":1968},[616,617],[573,1970,677],{"className":1971},[705],[573,1973,1975,1991],{"className":1974},[576],[573,1976,1978],{"className":1977},[580],[582,1979,1980],{"xmlns":584},[586,1981,1982,1988],{},[589,1983,1984,1986],{},[592,1985,724],{},[669,1987,727],{},[596,1989,1990],{"encoding":598},"\\sin",[573,1992,1994],{"className":1993,"ariaHidden":603},[602],[573,1995,1997,2000],{"className":1996},[607],[573,1998],{"className":1999,"style":821},[611],[573,2001,724],{"className":2002},[753],[573,2004,2006,2022],{"className":2005},[576],[573,2007,2009],{"className":2008},[580],[582,2010,2011],{"xmlns":584},[586,2012,2013,2019],{},[589,2014,2015,2017],{},[731,2016,733],{},[592,2018,637],{},[596,2020,2021],{"encoding":598},"2x",[573,2023,2025],{"className":2024,"ariaHidden":603},[602],[573,2026,2028,2031,2034],{"className":2027},[607],[573,2029],{"className":2030,"style":891},[611],[573,2032,733],{"className":2033},[616],[573,2035,637],{"className":2036},[616,617],[573,2038,2040],{"className":2039},[1332],[573,2041,2043,2102],{"className":2042},[576],[573,2044,2046],{"className":2045},[580],[582,2047,2048],{"xmlns":584,"display":1341},[586,2049,2050,2099],{},[589,2051,2052,2058,2060,2062,2064,2066,2069,2071,2073,2075,2077,2079,2081,2083,2085,2087,2089,2091,2093,2095,2097],{},[948,2053,2054,2056],{},[592,2055,933],{},[669,2057,1354],{"mathvariant":1352,"lspace":1353,"rspace":1353},[669,2059,672],{"stretchy":671},[592,2061,637],{},[669,2063,677],{"stretchy":671},[669,2065,783],{},[592,2067,2068],{},"cos",[669,2070,727],{},[669,2072,672],{"stretchy":671},[731,2074,733],{},[592,2076,637],{},[669,2078,677],{"stretchy":671},[669,2080,1391],{},[731,2082,733],{},[669,2084,783],{},[731,2086,733],{},[592,2088,2068],{},[669,2090,727],{},[669,2092,672],{"stretchy":671},[731,2094,733],{},[592,2096,637],{},[669,2098,677],{"stretchy":671},[596,2100,2101],{"encoding":598},"f'(x) = \\cos(2x) \\cdot 2 = 2\\cos(2x)",[573,2103,2105,2161,2191,2209],{"className":2104,"ariaHidden":603},[602],[573,2106,2108,2111,2143,2146,2149,2152,2155,2158],{"className":2107},[607],[573,2109],{"className":2110,"style":1473},[611],[573,2112,2114,2117],{"className":2113},[616],[573,2115,933],{"className":2116,"style":982},[616,617],[573,2118,2120],{"className":2119},[1023],[573,2121,2123],{"className":2122},[1027],[573,2124,2126],{"className":2125},[1031],[573,2127,2129],{"className":2128,"style":1492},[1035],[573,2130,2131,2134],{"style":1495},[573,2132],{"className":2133,"style":1044},[1043],[573,2135,2137],{"className":2136},[1048,1049,1050,1051],[573,2138,2140],{"className":2139},[616,1051],[573,2141,1354],{"className":2142},[616,1051],[573,2144,672],{"className":2145},[698],[573,2147,637],{"className":2148},[616,617],[573,2150,677],{"className":2151},[705],[573,2153],{"className":2154,"style":807},[806],[573,2156,783],{"className":2157},[811],[573,2159],{"className":2160,"style":807},[806],[573,2162,2164,2167,2170,2173,2176,2179,2182,2185,2188],{"className":2163},[607],[573,2165],{"className":2166,"style":690},[611],[573,2168,2068],{"className":2169},[753],[573,2171,672],{"className":2172},[698],[573,2174,733],{"className":2175},[616],[573,2177,637],{"className":2178},[616,617],[573,2180,677],{"className":2181},[705],[573,2183],{"className":2184,"style":1058},[806],[573,2186,1391],{"className":2187},[1062],[573,2189],{"className":2190,"style":1058},[806],[573,2192,2194,2197,2200,2203,2206],{"className":2193},[607],[573,2195],{"className":2196,"style":891},[611],[573,2198,733],{"className":2199},[616],[573,2201],{"className":2202,"style":807},[806],[573,2204,783],{"className":2205},[811],[573,2207],{"className":2208,"style":807},[806],[573,2210,2212,2215,2218,2221,2224,2227,2230,2233],{"className":2211},[607],[573,2213],{"className":2214,"style":690},[611],[573,2216,733],{"className":2217},[616],[573,2219],{"className":2220,"style":1539},[806],[573,2222,2068],{"className":2223},[753],[573,2225,672],{"className":2226},[698],[573,2228,733],{"className":2229},[616],[573,2231,637],{"className":2232},[616,617],[573,2234,677],{"className":2235},[705],[564,2237,2238,1104,2399,1203,2459,1328],{},[573,2239,2241,2282],{"className":2240},[576],[573,2242,2244],{"className":2243},[580],[582,2245,2246],{"xmlns":584},[586,2247,2248,2279],{},[589,2249,2250,2252,2254,2256,2258,2260],{},[592,2251,933],{},[669,2253,672],{"stretchy":671},[592,2255,637],{},[669,2257,677],{"stretchy":671},[669,2259,783],{},[948,2261,2262,2265],{},[592,2263,2264],{},"e",[589,2266,2267,2270,2273],{},[669,2268,2269],{},"−",[731,2271,2272],{},"0,5",[948,2274,2275,2277],{},[592,2276,637],{},[731,2278,733],{},[596,2280,2281],{"encoding":598},"f(x) = e^{-0{,}5x^2}",[573,2283,2285,2312],{"className":2284,"ariaHidden":603},[602],[573,2286,2288,2291,2294,2297,2300,2303,2306,2309],{"className":2287},[607],[573,2289],{"className":2290,"style":690},[611],[573,2292,933],{"className":2293,"style":982},[616,617],[573,2295,672],{"className":2296},[698],[573,2298,637],{"className":2299},[616,617],[573,2301,677],{"className":2302},[705],[573,2304],{"className":2305,"style":807},[806],[573,2307,783],{"className":2308},[811],[573,2310],{"className":2311,"style":807},[806],[573,2313,2315,2319],{"className":2314},[607],[573,2316],{"className":2317,"style":2318},[611],"height:0.9869em;",[573,2320,2322,2325],{"className":2321},[616],[573,2323,2264],{"className":2324},[616,617],[573,2326,2328],{"className":2327},[1023],[573,2329,2331],{"className":2330},[1027],[573,2332,2334],{"className":2333},[1031],[573,2335,2337],{"className":2336,"style":2318},[1035],[573,2338,2339,2342],{"style":1039},[573,2340],{"className":2341,"style":1044},[1043],[573,2343,2345],{"className":2344},[1048,1049,1050,1051],[573,2346,2348,2351,2355,2361,2365],{"className":2347},[616,1051],[573,2349,2269],{"className":2350},[616,1051],[573,2352,2354],{"className":2353},[616,1051],"0",[573,2356,2358],{"className":2357},[616,1051],[573,2359,1428],{"className":2360},[1753,1051],[573,2362,2364],{"className":2363},[616,1051],"5",[573,2366,2368,2371],{"className":2367},[616,1051],[573,2369,637],{"className":2370},[616,617,1051],[573,2372,2374],{"className":2373},[1023],[573,2375,2377],{"className":2376},[1027],[573,2378,2380],{"className":2379},[1031],[573,2381,2384],{"className":2382,"style":2383},[1035],"height:0.8913em;",[573,2385,2387,2391],{"style":2386},"top:-2.931em;margin-right:0.0714em;",[573,2388],{"className":2389,"style":2390},[1043],"height:2.5em;",[573,2392,2396],{"className":2393},[1048,2394,2395,1051],"reset-size3","size1",[573,2397,733],{"className":2398},[616,1051],[573,2400,2402,2420],{"className":2401},[576],[573,2403,2405],{"className":2404},[580],[582,2406,2407],{"xmlns":584},[586,2408,2409,2417],{},[589,2410,2411],{},[948,2412,2413,2415],{},[592,2414,2264],{},[592,2416,1123],{},[596,2418,2419],{"encoding":598},"e^z",[573,2421,2423],{"className":2422,"ariaHidden":603},[602],[573,2424,2426,2430],{"className":2425},[607],[573,2427],{"className":2428,"style":2429},[611],"height:0.6644em;",[573,2431,2433,2436],{"className":2432},[616],[573,2434,2264],{"className":2435},[616,617],[573,2437,2439],{"className":2438},[1023],[573,2440,2442],{"className":2441},[1027],[573,2443,2445],{"className":2444},[1031],[573,2446,2448],{"className":2447,"style":2429},[1035],[573,2449,2450,2453],{"style":1039},[573,2451],{"className":2452,"style":1044},[1043],[573,2454,2456],{"className":2455},[1048,1049,1050,1051],[573,2457,1123],{"className":2458,"style":1155},[616,617,1051],[573,2460,2462,2484],{"className":2461},[576],[573,2463,2465],{"className":2464},[580],[582,2466,2467],{"xmlns":584},[586,2468,2469,2481],{},[589,2470,2471,2473,2475],{},[669,2472,2269],{},[731,2474,2272],{},[948,2476,2477,2479],{},[592,2478,637],{},[731,2480,733],{},[596,2482,2483],{"encoding":598},"-0{,}5x^2",[573,2485,2487],{"className":2486,"ariaHidden":603},[602],[573,2488,2490,2494,2497,2500,2506,2509],{"className":2489},[607],[573,2491],{"className":2492,"style":2493},[611],"height:1.0085em;vertical-align:-0.1944em;",[573,2495,2269],{"className":2496},[616],[573,2498,2354],{"className":2499},[616],[573,2501,2503],{"className":2502},[616],[573,2504,1428],{"className":2505},[1753],[573,2507,2364],{"className":2508},[616],[573,2510,2512,2515],{"className":2511},[616],[573,2513,637],{"className":2514},[616,617],[573,2516,2518],{"className":2517},[1023],[573,2519,2521],{"className":2520},[1027],[573,2522,2524],{"className":2523},[1031],[573,2525,2527],{"className":2526,"style":1036},[1035],[573,2528,2529,2532],{"style":1039},[573,2530],{"className":2531,"style":1044},[1043],[573,2533,2535],{"className":2534},[1048,1049,1050,1051],[573,2536,733],{"className":2537},[616,1051],[573,2539,2541],{"className":2540},[1332],[573,2542,2544,2620],{"className":2543},[576],[573,2545,2547],{"className":2546},[580],[582,2548,2549],{"xmlns":584,"display":1341},[586,2550,2551,2617],{},[589,2552,2553,2559,2561,2563,2565,2567,2583,2585,2587,2589,2591,2593,2595,2597,2599,2601],{},[948,2554,2555,2557],{},[592,2556,933],{},[669,2558,1354],{"mathvariant":1352,"lspace":1353,"rspace":1353},[669,2560,672],{"stretchy":671},[592,2562,637],{},[669,2564,677],{"stretchy":671},[669,2566,783],{},[948,2568,2569,2571],{},[592,2570,2264],{},[589,2572,2573,2575,2577],{},[669,2574,2269],{},[731,2576,2272],{},[948,2578,2579,2581],{},[592,2580,637],{},[731,2582,733],{},[669,2584,1391],{},[669,2586,672],{"stretchy":671},[669,2588,2269],{},[592,2590,637],{},[669,2592,677],{"stretchy":671},[669,2594,783],{},[669,2596,2269],{},[592,2598,637],{},[1366,2600,1368],{},[948,2602,2603,2605],{},[592,2604,2264],{},[589,2606,2607,2609,2611],{},[669,2608,2269],{},[731,2610,2272],{},[948,2612,2613,2615],{},[592,2614,637],{},[731,2616,733],{},[596,2618,2619],{"encoding":598},"f'(x) = e^{-0{,}5x^2} \\cdot (-x) = -x\\,e^{-0{,}5x^2}",[573,2621,2623,2679,2768,2795],{"className":2622,"ariaHidden":603},[602],[573,2624,2626,2629,2661,2664,2667,2670,2673,2676],{"className":2625},[607],[573,2627],{"className":2628,"style":1473},[611],[573,2630,2632,2635],{"className":2631},[616],[573,2633,933],{"className":2634,"style":982},[616,617],[573,2636,2638],{"className":2637},[1023],[573,2639,2641],{"className":2640},[1027],[573,2642,2644],{"className":2643},[1031],[573,2645,2647],{"className":2646,"style":1492},[1035],[573,2648,2649,2652],{"style":1495},[573,2650],{"className":2651,"style":1044},[1043],[573,2653,2655],{"className":2654},[1048,1049,1050,1051],[573,2656,2658],{"className":2657},[616,1051],[573,2659,1354],{"className":2660},[616,1051],[573,2662,672],{"className":2663},[698],[573,2665,637],{"className":2666},[616,617],[573,2668,677],{"className":2669},[705],[573,2671],{"className":2672,"style":807},[806],[573,2674,783],{"className":2675},[811],[573,2677],{"className":2678,"style":807},[806],[573,2680,2682,2686,2759,2762,2765],{"className":2681},[607],[573,2683],{"className":2684,"style":2685},[611],"height:1.0369em;",[573,2687,2689,2692],{"className":2688},[616],[573,2690,2264],{"className":2691},[616,617],[573,2693,2695],{"className":2694},[1023],[573,2696,2698],{"className":2697},[1027],[573,2699,2701],{"className":2700},[1031],[573,2702,2704],{"className":2703,"style":2685},[1035],[573,2705,2706,2709],{"style":1495},[573,2707],{"className":2708,"style":1044},[1043],[573,2710,2712],{"className":2711},[1048,1049,1050,1051],[573,2713,2715,2718,2721,2727,2730],{"className":2714},[616,1051],[573,2716,2269],{"className":2717},[616,1051],[573,2719,2354],{"className":2720},[616,1051],[573,2722,2724],{"className":2723},[616,1051],[573,2725,1428],{"className":2726},[1753,1051],[573,2728,2364],{"className":2729},[616,1051],[573,2731,2733,2736],{"className":2732},[616,1051],[573,2734,637],{"className":2735},[616,617,1051],[573,2737,2739],{"className":2738},[1023],[573,2740,2742],{"className":2741},[1027],[573,2743,2745],{"className":2744},[1031],[573,2746,2748],{"className":2747,"style":2383},[1035],[573,2749,2750,2753],{"style":2386},[573,2751],{"className":2752,"style":2390},[1043],[573,2754,2756],{"className":2755},[1048,2394,2395,1051],[573,2757,733],{"className":2758},[616,1051],[573,2760],{"className":2761,"style":1058},[806],[573,2763,1391],{"className":2764},[1062],[573,2766],{"className":2767,"style":1058},[806],[573,2769,2771,2774,2777,2780,2783,2786,2789,2792],{"className":2770},[607],[573,2772],{"className":2773,"style":690},[611],[573,2775,672],{"className":2776},[698],[573,2778,2269],{"className":2779},[616],[573,2781,637],{"className":2782},[616,617],[573,2784,677],{"className":2785},[705],[573,2787],{"className":2788,"style":807},[806],[573,2790,783],{"className":2791},[811],[573,2793],{"className":2794,"style":807},[806],[573,2796,2798,2802,2805,2808,2811],{"className":2797},[607],[573,2799],{"className":2800,"style":2801},[611],"height:1.1202em;vertical-align:-0.0833em;",[573,2803,2269],{"className":2804},[616],[573,2806,637],{"className":2807},[616,617],[573,2809],{"className":2810,"style":1539},[806],[573,2812,2814,2817],{"className":2813},[616],[573,2815,2264],{"className":2816},[616,617],[573,2818,2820],{"className":2819},[1023],[573,2821,2823],{"className":2822},[1027],[573,2824,2826],{"className":2825},[1031],[573,2827,2829],{"className":2828,"style":2685},[1035],[573,2830,2831,2834],{"style":1495},[573,2832],{"className":2833,"style":1044},[1043],[573,2835,2837],{"className":2836},[1048,1049,1050,1051],[573,2838,2840,2843,2846,2852,2855],{"className":2839},[616,1051],[573,2841,2269],{"className":2842},[616,1051],[573,2844,2354],{"className":2845},[616,1051],[573,2847,2849],{"className":2848},[616,1051],[573,2850,1428],{"className":2851},[1753,1051],[573,2853,2364],{"className":2854},[616,1051],[573,2856,2858,2861],{"className":2857},[616,1051],[573,2859,637],{"className":2860},[616,617,1051],[573,2862,2864],{"className":2863},[1023],[573,2865,2867],{"className":2866},[1027],[573,2868,2870],{"className":2869},[1031],[573,2871,2873],{"className":2872,"style":2383},[1035],[573,2874,2875,2878],{"style":2386},[573,2876],{"className":2877,"style":2390},[1043],[573,2879,2881],{"className":2880},[1048,2394,2395,1051],[573,2882,733],{"className":2883},[616,1051],[559,2885,2887],{"id":2886},"typische-fehler","Typische Fehler",[2889,2890,2891,3036,3263],"ul",{},[2892,2893,2894,2895,3035],"li",{},"Die innere Ableitung vergessen: ",[573,2896,2898,2944],{"className":2897},[576],[573,2899,2901],{"className":2900},[580],[582,2902,2903],{"xmlns":584},[586,2904,2905,2941],{},[589,2906,2907,2909,2911,2913,2915,2917,2919,2921,2927,2929,2931,2933,2935,2937,2939],{},[669,2908,672],{"stretchy":671},[592,2910,724],{},[669,2912,727],{},[669,2914,672],{"stretchy":671},[731,2916,733],{},[592,2918,637],{},[669,2920,677],{"stretchy":671},[948,2922,2923,2925],{},[669,2924,677],{"stretchy":671},[669,2926,1354],{"mathvariant":1352,"lspace":1353,"rspace":1353},[669,2928,783],{},[592,2930,2068],{},[669,2932,727],{},[669,2934,672],{"stretchy":671},[731,2936,733],{},[592,2938,637],{},[669,2940,677],{"stretchy":671},[596,2942,2943],{"encoding":598},"(\\sin(2x))' = \\cos(2x)",[573,2945,2947,3014],{"className":2946,"ariaHidden":603},[602],[573,2948,2950,2954,2957,2960,2963,2966,2969,2972,3005,3008,3011],{"className":2949},[607],[573,2951],{"className":2952,"style":2953},[611],"height:1.0019em;vertical-align:-0.25em;",[573,2955,672],{"className":2956},[698],[573,2958,724],{"className":2959},[753],[573,2961,672],{"className":2962},[698],[573,2964,733],{"className":2965},[616],[573,2967,637],{"className":2968},[616,617],[573,2970,677],{"className":2971},[705],[573,2973,2975,2978],{"className":2974},[705],[573,2976,677],{"className":2977},[705],[573,2979,2981],{"className":2980},[1023],[573,2982,2984],{"className":2983},[1027],[573,2985,2987],{"className":2986},[1031],[573,2988,2991],{"className":2989,"style":2990},[1035],"height:0.7519em;",[573,2992,2993,2996],{"style":1039},[573,2994],{"className":2995,"style":1044},[1043],[573,2997,2999],{"className":2998},[1048,1049,1050,1051],[573,3000,3002],{"className":3001},[616,1051],[573,3003,1354],{"className":3004},[616,1051],[573,3006],{"className":3007,"style":807},[806],[573,3009,783],{"className":3010},[811],[573,3012],{"className":3013,"style":807},[806],[573,3015,3017,3020,3023,3026,3029,3032],{"className":3016},[607],[573,3018],{"className":3019,"style":690},[611],[573,3021,2068],{"className":3022},[753],[573,3024,672],{"className":3025},[698],[573,3027,733],{"className":3028},[616],[573,3030,637],{"className":3031},[616,617],[573,3033,677],{"className":3034},[705]," ist falsch.",[2892,3037,3038,3039,3165,3166,3262],{},"Das Innere beim äußeren Ableiten mit verändern: Bei ",[573,3040,3042,3074],{"className":3041},[576],[573,3043,3045],{"className":3044},[580],[582,3046,3047],{"xmlns":584},[586,3048,3049,3071],{},[589,3050,3051,3053,3055,3061,3063,3065],{},[669,3052,672],{"stretchy":671},[731,3054,946],{},[948,3056,3057,3059],{},[592,3058,637],{},[731,3060,733],{},[669,3062,956],{},[731,3064,959],{},[948,3066,3067,3069],{},[669,3068,677],{"stretchy":671},[731,3070,966],{},[596,3072,3073],{"encoding":598},"(3x^2 + 1)^4",[573,3075,3077,3127],{"className":3076,"ariaHidden":603},[602],[573,3078,3080,3083,3086,3089,3118,3121,3124],{"className":3079},[607],[573,3081],{"className":3082,"style":1007},[611],[573,3084,672],{"className":3085},[698],[573,3087,946],{"className":3088},[616],[573,3090,3092,3095],{"className":3091},[616],[573,3093,637],{"className":3094},[616,617],[573,3096,3098],{"className":3097},[1023],[573,3099,3101],{"className":3100},[1027],[573,3102,3104],{"className":3103},[1031],[573,3105,3107],{"className":3106,"style":1036},[1035],[573,3108,3109,3112],{"style":1039},[573,3110],{"className":3111,"style":1044},[1043],[573,3113,3115],{"className":3114},[1048,1049,1050,1051],[573,3116,733],{"className":3117},[616,1051],[573,3119],{"className":3120,"style":1058},[806],[573,3122,956],{"className":3123},[1062],[573,3125],{"className":3126,"style":1058},[806],[573,3128,3130,3133,3136],{"className":3129},[607],[573,3131],{"className":3132,"style":1007},[611],[573,3134,959],{"className":3135},[616],[573,3137,3139,3142],{"className":3138},[705],[573,3140,677],{"className":3141},[705],[573,3143,3145],{"className":3144},[1023],[573,3146,3148],{"className":3147},[1027],[573,3149,3151],{"className":3150},[1031],[573,3152,3154],{"className":3153,"style":1036},[1035],[573,3155,3156,3159],{"style":1039},[573,3157],{"className":3158,"style":1044},[1043],[573,3160,3162],{"className":3161},[1048,1049,1050,1051],[573,3163,966],{"className":3164},[616,1051]," bleibt die Klammer ",[573,3167,3169,3197],{"className":3168},[576],[573,3170,3172],{"className":3171},[580],[582,3173,3174],{"xmlns":584},[586,3175,3176,3194],{},[589,3177,3178,3180,3182,3188,3190,3192],{},[669,3179,672],{"stretchy":671},[731,3181,946],{},[948,3183,3184,3186],{},[592,3185,637],{},[731,3187,733],{},[669,3189,956],{},[731,3191,959],{},[669,3193,677],{"stretchy":671},[596,3195,3196],{"encoding":598},"(3x^2 + 1)",[573,3198,3200,3250],{"className":3199,"ariaHidden":603},[602],[573,3201,3203,3206,3209,3212,3241,3244,3247],{"className":3202},[607],[573,3204],{"className":3205,"style":1007},[611],[573,3207,672],{"className":3208},[698],[573,3210,946],{"className":3211},[616],[573,3213,3215,3218],{"className":3214},[616],[573,3216,637],{"className":3217},[616,617],[573,3219,3221],{"className":3220},[1023],[573,3222,3224],{"className":3223},[1027],[573,3225,3227],{"className":3226},[1031],[573,3228,3230],{"className":3229,"style":1036},[1035],[573,3231,3232,3235],{"style":1039},[573,3233],{"className":3234,"style":1044},[1043],[573,3236,3238],{"className":3237},[1048,1049,1050,1051],[573,3239,733],{"className":3240},[616,1051],[573,3242],{"className":3243,"style":1058},[806],[573,3245,956],{"className":3246},[1062],[573,3248],{"className":3249,"style":1058},[806],[573,3251,3253,3256,3259],{"className":3252},[607],[573,3254],{"className":3255,"style":690},[611],[573,3257,959],{"className":3258},[616],[573,3260,677],{"className":3261},[705]," in der äußeren Ableitung unverändert stehen.",[2892,3264,3265,3266,3345,3346,3411,3412,3345,3488,909],{},"Innen und außen verwechseln: ",[573,3267,3269,3295],{"className":3268},[576],[573,3270,3272],{"className":3271},[580],[582,3273,3274],{"xmlns":584},[586,3275,3276,3292],{},[589,3277,3278,3280,3282,3284,3286],{},[669,3279,672],{"stretchy":671},[592,3281,724],{},[669,3283,727],{},[592,3285,637],{},[948,3287,3288,3290],{},[669,3289,677],{"stretchy":671},[731,3291,733],{},[596,3293,3294],{"encoding":598},"(\\sin x)^2",[573,3296,3298],{"className":3297,"ariaHidden":603},[602],[573,3299,3301,3304,3307,3310,3313,3316],{"className":3300},[607],[573,3302],{"className":3303,"style":1007},[611],[573,3305,672],{"className":3306},[698],[573,3308,724],{"className":3309},[753],[573,3311],{"className":3312,"style":1539},[806],[573,3314,637],{"className":3315},[616,617],[573,3317,3319,3322],{"className":3318},[705],[573,3320,677],{"className":3321},[705],[573,3323,3325],{"className":3324},[1023],[573,3326,3328],{"className":3327},[1027],[573,3329,3331],{"className":3330},[1031],[573,3332,3334],{"className":3333,"style":1036},[1035],[573,3335,3336,3339],{"style":1039},[573,3337],{"className":3338,"style":1044},[1043],[573,3340,3342],{"className":3341},[1048,1049,1050,1051],[573,3343,733],{"className":3344},[616,1051]," hat die Ableitung ",[573,3347,3349,3375],{"className":3348},[576],[573,3350,3352],{"className":3351},[580],[582,3353,3354],{"xmlns":584},[586,3355,3356,3372],{},[589,3357,3358,3360,3362,3364,3366,3368,3370],{},[731,3359,733],{},[592,3361,724],{},[669,3363,727],{},[592,3365,637],{},[592,3367,2068],{},[669,3369,727],{},[592,3371,637],{},[596,3373,3374],{"encoding":598},"2 \\sin x \\cos x",[573,3376,3378],{"className":3377,"ariaHidden":603},[602],[573,3379,3381,3384,3387,3390,3393,3396,3399,3402,3405,3408],{"className":3380},[607],[573,3382],{"className":3383,"style":821},[611],[573,3385,733],{"className":3386},[616],[573,3388],{"className":3389,"style":1539},[806],[573,3391,724],{"className":3392},[753],[573,3394],{"className":3395,"style":1539},[806],[573,3397,637],{"className":3398},[616,617],[573,3400],{"className":3401,"style":1539},[806],[573,3403,2068],{"className":3404},[753],[573,3406],{"className":3407,"style":1539},[806],[573,3409,637],{"className":3410},[616,617],", aber ",[573,3413,3415,3441],{"className":3414},[576],[573,3416,3418],{"className":3417},[580],[582,3419,3420],{"xmlns":584},[586,3421,3422,3438],{},[589,3423,3424,3426,3428,3430,3436],{},[592,3425,724],{},[669,3427,727],{},[669,3429,672],{"stretchy":671},[948,3431,3432,3434],{},[592,3433,637],{},[731,3435,733],{},[669,3437,677],{"stretchy":671},[596,3439,3440],{"encoding":598},"\\sin(x^2)",[573,3442,3444],{"className":3443,"ariaHidden":603},[602],[573,3445,3447,3450,3453,3456,3485],{"className":3446},[607],[573,3448],{"className":3449,"style":1007},[611],[573,3451,724],{"className":3452},[753],[573,3454,672],{"className":3455},[698],[573,3457,3459,3462],{"className":3458},[616],[573,3460,637],{"className":3461},[616,617],[573,3463,3465],{"className":3464},[1023],[573,3466,3468],{"className":3467},[1027],[573,3469,3471],{"className":3470},[1031],[573,3472,3474],{"className":3473,"style":1036},[1035],[573,3475,3476,3479],{"style":1039},[573,3477],{"className":3478,"style":1044},[1043],[573,3480,3482],{"className":3481},[1048,1049,1050,1051],[573,3483,733],{"className":3484},[616,1051],[573,3486,677],{"className":3487},[705],[573,3489,3491,3521],{"className":3490},[576],[573,3492,3494],{"className":3493},[580],[582,3495,3496],{"xmlns":584},[586,3497,3498,3518],{},[589,3499,3500,3502,3504,3506,3508,3510,3516],{},[731,3501,733],{},[592,3503,637],{},[592,3505,2068],{},[669,3507,727],{},[669,3509,672],{"stretchy":671},[948,3511,3512,3514],{},[592,3513,637],{},[731,3515,733],{},[669,3517,677],{"stretchy":671},[596,3519,3520],{"encoding":598},"2x \\cos(x^2)",[573,3522,3524],{"className":3523,"ariaHidden":603},[602],[573,3525,3527,3530,3533,3536,3539,3542,3545,3574],{"className":3526},[607],[573,3528],{"className":3529,"style":1007},[611],[573,3531,733],{"className":3532},[616],[573,3534,637],{"className":3535},[616,617],[573,3537],{"className":3538,"style":1539},[806],[573,3540,2068],{"className":3541},[753],[573,3543,672],{"className":3544},[698],[573,3546,3548,3551],{"className":3547},[616],[573,3549,637],{"className":3550},[616,617],[573,3552,3554],{"className":3553},[1023],[573,3555,3557],{"className":3556},[1027],[573,3558,3560],{"className":3559},[1031],[573,3561,3563],{"className":3562,"style":1036},[1035],[573,3564,3565,3568],{"style":1039},[573,3566],{"className":3567,"style":1044},[1043],[573,3569,3571],{"className":3570},[1048,1049,1050,1051],[573,3572,733],{"className":3573},[616,1051],[573,3575,677],{"className":3576},[705],{"title":3578,"searchDepth":3579,"depth":3579,"links":3580},"",2,[3581,3582,3583],{"id":561,"depth":3579,"text":562},{"id":915,"depth":3579,"text":916},{"id":2886,"depth":3579,"text":2887},[3585,3588,3592,3594,3596,3598,3600],{"lhs":3586,"rhs":3587},"4*(3*x^2 + 1)^3 * 6*x","24*x*(3*x^2 + 1)^3",{"lhs":3589,"rhs":2354,"where":3590},"round(((3*(x+1e-6)^2 + 1)^4 - (3*(x-1e-6)^2 + 1)^4)\u002F(2e-6) - 24*x*(3*x^2 + 1)^3, 3)",{"x":3591},1,{"lhs":3593,"rhs":1460},"24*1*(3*1^2 + 1)^3",{"lhs":3595,"rhs":2354},"round((sin(2*(x+1e-5)) - sin(2*(x-1e-5)))\u002F(2e-5) - 2*cos(2*x), 6)",{"lhs":3597,"rhs":2354},"round((exp(-0.5*(x+1e-5)^2) - exp(-0.5*(x-1e-5)^2))\u002F(2e-5) + x*exp(-0.5*x^2), 6)",{"lhs":3599,"rhs":2354},"round((sin(x+1e-5)^2 - sin(x-1e-5)^2)\u002F(2e-5) - 2*sin(x)*cos(x), 6)",{"lhs":3601,"rhs":2354},"round((sin((x+1e-5)^2) - sin((x-1e-5)^2))\u002F(2e-5) - 2*x*cos(x^2), 6)","v \\text{ differenzierbar in } x,\\ u \\text{ differenzierbar in } v(x)","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>v\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">v\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:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">v\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">differenzierbar in\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x,\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:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\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>u\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">u\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:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">u\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">differenzierbar in\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>v\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">v(x)\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">v\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","chain-rule","f(x) = u\\big(v(x)\\big) \\;\\Rightarrow\\; f'(x) = u'\\big(v(x)\\big) \\cdot v'(x)","\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>f\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>u\u003C\u002Fmi>\u003Cmo fence=\"false\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(\u003C\u002Fmo>\u003Cmi>v\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo fence=\"false\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)\u003C\u002Fmo>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmo>⇒\u003C\u002Fmo>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmsup>\u003Cmi>f\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">′\u003C\u002Fmo>\u003C\u002Fmsup>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmsup>\u003Cmi>u\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">′\u003C\u002Fmo>\u003C\u002Fmsup>\u003Cmo fence=\"false\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(\u003C\u002Fmo>\u003Cmi>v\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo fence=\"false\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)\u003C\u002Fmo>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmsup>\u003Cmi>v\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">′\u003C\u002Fmo>\u003C\u002Fmsup>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">f(x) = u\\big(v(x)\\big) \\;\\Rightarrow\\; f'(x) = u'\\big(v(x)\\big) 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