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f(x)^{g(x)}",[569,1088,1090,1109],{"className":1089,"ariaHidden":662},[661],[569,1091,1093,1097,1100,1103,1106],{"className":1092},[666],[569,1094],{"className":1095,"style":1096},[670],"height:0.625em;vertical-align:-0.1944em;",[569,1098,1061],{"className":1099,"style":730},[675,676],[569,1101],{"className":1102,"style":744},[743],[569,1104,623],{"className":1105},[748],[569,1107],{"className":1108,"style":744},[743],[569,1110,1112,1116,1119,1122,1125],{"className":1111},[666],[569,1113],{"className":1114,"style":1115},[670],"height:1.138em;vertical-align:-0.25em;",[569,1117,595],{"className":1118,"style":677},[675,676],[569,1120,600],{"className":1121},[681],[569,1123,603],{"className":1124},[675,676],[569,1126,1128,1131],{"className":1127},[688],[569,1129,609],{"className":1130},[688],[569,1132,1134],{"className":1133},[695],[569,1135,1137],{"className":1136},[699],[569,1138,1140],{"className":1139},[703],[569,1141,1144],{"className":1142,"style":1143},[707],"height:0.888em;",[569,1145,1147,1150],{"style":1146},"top:-3.063em;margin-right:0.05em;",[569,1148],{"className":1149,"style":716},[715],[569,1151,1153],{"className":1152},[720,721,722,723],[569,1154,1156,1159,1162,1165],{"className":1155},[675,723],[569,1157,614],{"className":1158,"style":730},[675,676,723],[569,1160,600],{"className":1161},[681,723],[569,1163,603],{"className":1164},[675,676,723],[569,1166,609],{"className":1167},[688,723]," zu ",[569,1170,1172,1212],{"className":1171},[576],[569,1173,1175],{"className":1174},[580],[582,1176,1177],{"xmlns":584},[587,1178,1179,1209],{},[590,1180,1181,1183,1185,1187,1189,1191,1193,1195,1197,1199,1201,1203,1205,1207],{},[593,1182,641],{},[597,1184,644],{},[593,1186,1061],{},[597,1188,623],{},[593,1190,614],{},[597,1192,600],{"stretchy":599},[593,1194,603],{},[597,1196,609],{"stretchy":599},[593,1198,641],{},[597,1200,644],{},[593,1202,595],{},[597,1204,600],{"stretchy":599},[593,1206,603],{},[597,1208,609],{"stretchy":599},[654,1210,1211],{"encoding":656},"\\ln y = g(x) \\ln f(x)",[569,1213,1215,1240],{"className":1214,"ariaHidden":662},[661],[569,1216,1218,1222,1225,1228,1231,1234,1237],{"className":1217},[666],[569,1219],{"className":1220,"style":1221},[670],"height:0.8889em;vertical-align:-0.1944em;",[569,1223,641],{"className":1224},[806],[569,1226],{"className":1227,"style":893},[743],[569,1229,1061],{"className":1230,"style":730},[675,676],[569,1232],{"className":1233,"style":744},[743],[569,1235,623],{"className":1236},[748],[569,1238],{"className":1239,"style":744},[743],[569,1241,1243,1246,1249,1252,1255,1258,1261,1264,1267,1270,1273,1276],{"className":1242},[666],[569,1244],{"className":1245,"style":877},[670],[569,1247,614],{"className":1248,"style":730},[675,676],[569,1250,600],{"className":1251},[681],[569,1253,603],{"className":1254},[675,676],[569,1256,609],{"className":1257},[688],[569,1259],{"className":1260,"style":893},[743],[569,1262,641],{"className":1263},[806],[569,1265],{"className":1266,"style":893},[743],[569,1268,595],{"className":1269,"style":677},[675,676],[569,1271,600],{"className":1272},[681],[569,1274,603],{"className":1275},[675,676],[569,1277,609],{"className":1278},[688]," und leitet beide Seiten ab.",[565,1281,1282,1283,1311,1312,1340,1341,1632],{},"Die Formel enthält zwei Sonderfälle: Ist ",[569,1284,1286,1299],{"className":1285},[576],[569,1287,1289],{"className":1288},[580],[582,1290,1291],{"xmlns":584},[587,1292,1293,1297],{},[590,1294,1295],{},[593,1296,614],{},[654,1298,614],{"encoding":656},[569,1300,1302],{"className":1301,"ariaHidden":662},[661],[569,1303,1305,1308],{"className":1304},[666],[569,1306],{"className":1307,"style":1096},[670],[569,1309,614],{"className":1310,"style":730},[675,676]," konstant, ergibt sich die Potenzregel. Ist ",[569,1313,1315,1328],{"className":1314},[576],[569,1316,1318],{"className":1317},[580],[582,1319,1320],{"xmlns":584},[587,1321,1322,1326],{},[590,1323,1324],{},[593,1325,595],{},[654,1327,595],{"encoding":656},[569,1329,1331],{"className":1330,"ariaHidden":662},[661],[569,1332,1334,1337],{"className":1333},[666],[569,1335],{"className":1336,"style":1221},[670],[569,1338,595],{"className":1339,"style":677},[675,676]," konstant, ergibt sich ",[569,1342,1344,1419],{"className":1343},[576],[569,1345,1347],{"className":1346},[580],[582,1348,1349],{"xmlns":584},[587,1350,1351,1416],{},[590,1352,1353,1355,1370,1379,1381,1395,1398,1404,1406,1408,1410,1412,1414],{},[597,1354,600],{"stretchy":599},[605,1356,1357,1360],{},[593,1358,1359],{},"a",[590,1361,1362,1364,1366,1368],{},[593,1363,614],{},[597,1365,600],{"stretchy":599},[593,1367,603],{},[597,1369,609],{"stretchy":599},[605,1371,1372,1374],{},[597,1373,609],{"stretchy":599},[597,1375,1378],{"mathvariant":1376,"lspace":1377,"rspace":1377},"normal","0em","′",[597,1380,623],{},[605,1382,1383,1385],{},[593,1384,1359],{},[590,1386,1387,1389,1391,1393],{},[593,1388,614],{},[597,1390,600],{"stretchy":599},[593,1392,603],{},[597,1394,609],{"stretchy":599},[597,1396,1397],{},"⋅",[605,1399,1400,1402],{},[593,1401,614],{},[597,1403,1378],{"mathvariant":1376,"lspace":1377,"rspace":1377},[597,1405,600],{"stretchy":599},[593,1407,603],{},[597,1409,609],{"stretchy":599},[593,1411,641],{},[597,1413,644],{},[593,1415,1359],{},[654,1417,1418],{"encoding":656},"(a^{g(x)})' = a^{g(x)} \\cdot g'(x) \\ln a",[569,1420,1422,1514,1572],{"className":1421,"ariaHidden":662},[661],[569,1423,1425,1428,1431,1472,1505,1508,1511],{"className":1424},[666],[569,1426],{"className":1427,"style":1115},[670],[569,1429,600],{"className":1430},[681],[569,1432,1434,1437],{"className":1433},[675],[569,1435,1359],{"className":1436},[675,676],[569,1438,1440],{"className":1439},[695],[569,1441,1443],{"className":1442},[699],[569,1444,1446],{"className":1445},[703],[569,1447,1449],{"className":1448,"style":1143},[707],[569,1450,1451,1454],{"style":1146},[569,1452],{"className":1453,"style":716},[715],[569,1455,1457],{"className":1456},[720,721,722,723],[569,1458,1460,1463,1466,1469],{"className":1459},[675,723],[569,1461,614],{"className":1462,"style":730},[675,676,723],[569,1464,600],{"className":1465},[681,723],[569,1467,603],{"className":1468},[675,676,723],[569,1470,609],{"className":1471},[688,723],[569,1473,1475,1478],{"className":1474},[688],[569,1476,609],{"className":1477},[688],[569,1479,1481],{"className":1480},[695],[569,1482,1484],{"className":1483},[699],[569,1485,1487],{"className":1486},[703],[569,1488,1491],{"className":1489,"style":1490},[707],"height:0.7519em;",[569,1492,1493,1496],{"style":1146},[569,1494],{"className":1495,"style":716},[715],[569,1497,1499],{"className":1498},[720,721,722,723],[569,1500,1502],{"className":1501},[675,723],[569,1503,1378],{"className":1504},[675,723],[569,1506],{"className":1507,"style":744},[743],[569,1509,623],{"className":1510},[748],[569,1512],{"className":1513,"style":744},[743],[569,1515,1517,1520,1561,1565,1569],{"className":1516},[666],[569,1518],{"className":1519,"style":1143},[670],[569,1521,1523,1526],{"className":1522},[675],[569,1524,1359],{"className":1525},[675,676],[569,1527,1529],{"className":1528},[695],[569,1530,1532],{"className":1531},[699],[569,1533,1535],{"className":1534},[703],[569,1536,1538],{"className":1537,"style":1143},[707],[569,1539,1540,1543],{"style":1146},[569,1541],{"className":1542,"style":716},[715],[569,1544,1546],{"className":1545},[720,721,722,723],[569,1547,1549,1552,1555,1558],{"className":1548},[675,723],[569,1550,614],{"className":1551,"style":730},[675,676,723],[569,1553,600],{"className":1554},[681,723],[569,1556,603],{"className":1557},[675,676,723],[569,1559,609],{"className":1560},[688,723],[569,1562],{"className":1563,"style":1564},[743],"margin-right:0.2222em;",[569,1566,1397],{"className":1567},[1568],"mbin",[569,1570],{"className":1571,"style":1564},[743],[569,1573,1575,1579,1611,1614,1617,1620,1623,1626,1629],{"className":1574},[666],[569,1576],{"className":1577,"style":1578},[670],"height:1.0019em;vertical-align:-0.25em;",[569,1580,1582,1585],{"className":1581},[675],[569,1583,614],{"className":1584,"style":730},[675,676],[569,1586,1588],{"className":1587},[695],[569,1589,1591],{"className":1590},[699],[569,1592,1594],{"className":1593},[703],[569,1595,1597],{"className":1596,"style":1490},[707],[569,1598,1599,1602],{"style":1146},[569,1600],{"className":1601,"style":716},[715],[569,1603,1605],{"className":1604},[720,721,722,723],[569,1606,1608],{"className":1607},[675,723],[569,1609,1378],{"className":1610},[675,723],[569,1612,600],{"className":1613},[681],[569,1615,603],{"className":1616},[675,676],[569,1618,609],{"className":1619},[688],[569,1621],{"className":1622,"style":893},[743],[569,1624,641],{"className":1625},[806],[569,1627],{"className":1628,"style":893},[743],[569,1630,1359],{"className":1631},[675,676],".",[560,1634,1636],{"id":1635},"herleitung","Herleitung",[565,1638,1639],{},"Mit 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\\ln f(x)}\\right)' = e^{g(x) \\ln f(x)} \\cdot \\left(g'(x) \\ln f(x) + g(x) \\cdot \\frac{f'(x)}{f(x)}\\right)",[569,1795,1797,1932,2015],{"className":1796,"ariaHidden":662},[661],[569,1798,1800,1804,1923,1926,1929],{"className":1799},[666],[569,1801],{"className":1802,"style":1803},[670],"height:1.9418em;vertical-align:-0.65em;",[569,1805,1808,1895],{"className":1806},[1807],"minner",[569,1809,1811,1821,1889],{"className":1810},[1807],[569,1812,1816],{"className":1813,"style":1815},[681,1814],"delimcenter","top:0em;",[569,1817,600],{"className":1818},[1819,1820],"delimsizing","size2",[569,1822,1824,1827],{"className":1823},[675],[569,1825,628],{"className":1826},[675,676],[569,1828,1830],{"className":1829},[695],[569,1831,1833],{"className":1832},[699],[569,1834,1836],{"className":1835},[703],[569,1837,1839],{"className":1838,"style":708},[707],[569,1840,1841,1844],{"style":711},[569,1842],{"className":1843,"style":716},[715],[569,1845,1847],{"className":1846},[720,721,722,723],[569,1848,1850,1853,1856,1859,1862,1865,1874,1877,1880,1883,1886],{"className":1849},[675,723],[569,1851,614],{"className":1852,"style":730},[675,676,723],[569,1854,600],{"className":1855},[681,723],[569,1857,603],{"className":1858},[675,676,723],[569,1860,609],{"className":1861},[688,723],[569,1863],{"className":1864,"style":802},[743,723],[569,1866,1868,1871],{"className":1867},[806,723],[569,1869,810],{"className":1870},[723],[569,1872,814],{"className":1873},[723],[569,1875],{"className":1876,"style":802},[743,723],[569,1878,595],{"className":1879,"style":677},[675,676,723],[569,1881,600],{"className":1882},[681,723],[569,1884,603],{"className":1885},[675,676,723],[569,1887,609],{"className":1888},[688,723],[569,1890,1892],{"className":1891,"style":1815},[688,1814],[569,1893,609],{"className":1894},[1819,1820],[569,1896,1898],{"className":1897},[695],[569,1899,1901],{"className":1900},[699],[569,1902,1904],{"className":1903},[703],[569,1905,1908],{"className":1906,"style":1907},[707],"height:1.2918em;",[569,1909,1911,1914],{"style":1910},"top:-3.6029em;margin-right:0.05em;",[569,1912],{"className":1913,"style":716},[715],[569,1915,1917],{"className":1916},[720,721,722,723],[569,1918,1920],{"className":1919},[675,723],[569,1921,1378],{"className":1922},[675,723],[569,1924],{"className":1925,"style":744},[743],[569,1927,623],{"className":1928},[748],[569,1930],{"className":1931,"style":744},[743],[569,1933,1935,1938,2006,2009,2012],{"className":1934},[666],[569,1936],{"className":1937,"style":708},[670],[569,1939,1941,1944],{"className":1940},[675],[569,1942,628],{"className":1943},[675,676],[569,1945,1947],{"className":1946},[695],[569,1948,1950],{"className":1949},[699],[569,1951,1953],{"className":1952},[703],[569,1954,1956],{"className":1955,"style":708},[707],[569,1957,1958,1961],{"style":711},[569,1959],{"className":1960,"style":716},[715],[569,1962,1964],{"className":1963},[720,721,722,723],[569,1965,1967,1970,1973,1976,1979,1982,1991,1994,1997,2000,2003],{"className":1966},[675,723],[569,1968,614],{"className":1969,"style":730},[675,676,723],[569,1971,600],{"className":1972},[681,723],[569,1974,603],{"className":1975},[675,676,723],[569,1977,609],{"className":1978},[688,723],[569,1980],{"className":1981,"style":802},[743,723],[569,1983,1985,1988],{"className":1984},[806,723],[569,1986,810],{"className":1987},[723],[569,1989,814],{"className":1990},[723],[569,1992],{"className":1993,"style":802},[743,723],[569,1995,595],{"className":1996,"style":677},[675,676,723],[569,1998,600],{"className":1999},[681,723],[569,2001,603],{"className":2002},[675,676,723],[569,2004,609],{"className":2005},[688,723],[569,2007],{"className":2008,"style":1564},[743],[569,2010,1397],{"className":2011},[1568],[569,2013],{"className":2014,"style":1564},[743],[569,2016,2018,2022],{"className":2017},[666],[569,2019],{"className":2020,"style":2021},[670],"height:2.4em;vertical-align:-0.95em;",[569,2023,2025,2031,2064,2067,2070,2073,2076,2079,2082,2085,2088,2091,2094,2097,2100,2103,2106,2109,2112,2115,2118,2121,2124,2245],{"className":2024},[1807],[569,2026,2028],{"className":2027,"style":1815},[681,1814],[569,2029,600],{"className":2030},[1819,722],[569,2032,2034,2037],{"className":2033},[675],[569,2035,614],{"className":2036,"style":730},[675,676],[569,2038,2040],{"className":2039},[695],[569,2041,2043],{"className":2042},[699],[569,2044,2046],{"className":2045},[703],[569,2047,2050],{"className":2048,"style":2049},[707],"height:0.8019em;",[569,2051,2052,2055],{"style":711},[569,2053],{"className":2054,"style":716},[715],[569,2056,2058],{"className":2057},[720,721,722,723],[569,2059,2061],{"className":2060},[675,723],[569,2062,1378],{"className":2063},[675,723],[569,2065,600],{"className":2066},[681],[569,2068,603],{"className":2069},[675,676],[569,2071,609],{"className":2072},[688],[569,2074],{"className":2075,"style":893},[743],[569,2077,641],{"className":2078},[806],[569,2080],{"className":2081,"style":893},[743],[569,2083,595],{"className":2084,"style":677},[675,676],[569,2086,600],{"className":2087},[681],[569,2089,603],{"className":2090},[675,676],[569,2092,609],{"className":2093},[688],[569,2095],{"className":2096,"style":1564},[743],[569,2098,1751],{"className":2099},[1568],[569,2101],{"className":2102,"style":1564},[743],[569,2104,614],{"className":2105,"style":730},[675,676],[569,2107,600],{"className":2108},[681],[569,2110,603],{"className":2111},[675,676],[569,2113,609],{"className":2114},[688],[569,2116],{"className":2117,"style":1564},[743],[569,2119,1397],{"className":2120},[1568],[569,2122],{"className":2123,"style":1564},[743],[569,2125,2127,2131,2242],{"className":2126},[675],[569,2128],{"className":2129},[681,2130],"nulldelimiter",[569,2132,2134],{"className":2133},[1763],[569,2135,2138,2233],{"className":2136},[699,2137],"vlist-t2",[569,2139,2141,2228],{"className":2140},[703],[569,2142,2145,2167,2178],{"className":2143,"style":2144},[707],"height:1.4289em;",[569,2146,2148,2152],{"style":2147},"top:-2.314em;",[569,2149],{"className":2150,"style":2151},[715],"height:3em;",[569,2153,2155,2158,2161,2164],{"className":2154},[675],[569,2156,595],{"className":2157,"style":677},[675,676],[569,2159,600],{"className":2160},[681],[569,2162,603],{"className":2163},[675,676],[569,2165,609],{"className":2166},[688],[569,2168,2170,2173],{"style":2169},"top:-3.23em;",[569,2171],{"className":2172,"style":2151},[715],[569,2174],{"className":2175,"style":2177},[2176],"frac-line","border-bottom-width:0.04em;",[569,2179,2181,2184],{"style":2180},"top:-3.677em;",[569,2182],{"className":2183,"style":2151},[715],[569,2185,2187,2219,2222,2225],{"className":2186},[675],[569,2188,2190,2193],{"className":2189},[675],[569,2191,595],{"className":2192,"style":677},[675,676],[569,2194,2196],{"className":2195},[695],[569,2197,2199],{"className":2198},[699],[569,2200,2202],{"className":2201},[703],[569,2203,2205],{"className":2204,"style":1490},[707],[569,2206,2207,2210],{"style":1146},[569,2208],{"className":2209,"style":716},[715],[569,2211,2213],{"className":2212},[720,721,722,723],[569,2214,2216],{"className":2215},[675,723],[569,2217,1378],{"className":2218},[675,723],[569,2220,600],{"className":2221},[681],[569,2223,603],{"className":2224},[675,676],[569,2226,609],{"className":2227},[688],[569,2229,2232],{"className":2230},[2231],"vlist-s","​",[569,2234,2236],{"className":2235},[703],[569,2237,2240],{"className":2238,"style":2239},[707],"height:0.936em;",[569,2241],{},[569,2243],{"className":2244},[688,2130],[569,2246,2248],{"className":2247,"style":1815},[688,1814],[569,2249,609],{"className":2250},[1819,722],[565,2252,2253,2254,1632],{},"Der erste Faktor ist wieder ",[569,2255,2257,2289],{"className":2256},[576],[569,2258,2260],{"className":2259},[580],[582,2261,2262],{"xmlns":584},[587,2263,2264,2286],{},[590,2265,2266,2268,2270,2272],{},[593,2267,595],{},[597,2269,600],{"stretchy":599},[593,2271,603],{},[605,2273,2274,2276],{},[597,2275,609],{"stretchy":599},[590,2277,2278,2280,2282,2284],{},[593,2279,614],{},[597,2281,600],{"stretchy":599},[593,2283,603],{},[597,2285,609],{"stretchy":599},[654,2287,2288],{"encoding":656},"f(x)^{g(x)}",[569,2290,2292],{"className":2291,"ariaHidden":662},[661],[569,2293,2295,2298,2301,2304,2307],{"className":2294},[666],[569,2296],{"className":2297,"style":1115},[670],[569,2299,595],{"className":2300,"style":677},[675,676],[569,2302,600],{"className":2303},[681],[569,2305,603],{"className":2306},[675,676],[569,2308,2310,2313],{"className":2309},[688],[569,2311,609],{"className":2312},[688],[569,2314,2316],{"className":2315},[695],[569,2317,2319],{"className":2318},[699],[569,2320,2322],{"className":2321},[703],[569,2323,2325],{"className":2324,"style":1143},[707],[569,2326,2327,2330],{"style":1146},[569,2328],{"className":2329,"style":716},[715],[569,2331,2333],{"className":2332},[720,721,722,723],[569,2334,2336,2339,2342,2345],{"className":2335},[675,723],[569,2337,614],{"className":2338,"style":730},[675,676,723],[569,2340,600],{"className":2341},[681,723],[569,2343,603],{"className":2344},[675,676,723],[569,2346,609],{"className":2347},[688,723],[560,2349,2351],{"id":2350},"beispiele","Beispiele",[565,2353,2354,2355,2407,2408,2475,2476,2542],{},"Für ",[569,2356,2358,2376],{"className":2357},[576],[569,2359,2361],{"className":2360},[580],[582,2362,2363],{"xmlns":584},[587,2364,2365,2373],{},[590,2366,2367,2369,2371],{},[593,2368,603],{},[597,2370,935],{},[937,2372,939],{},[654,2374,2375],{"encoding":656},"x > 0",[569,2377,2379,2398],{"className":2378,"ariaHidden":662},[661],[569,2380,2382,2386,2389,2392,2395],{"className":2381},[666],[569,2383],{"className":2384,"style":2385},[670],"height:0.5782em;vertical-align:-0.0391em;",[569,2387,603],{"className":2388},[675,676],[569,2390],{"className":2391,"style":744},[743],[569,2393,935],{"className":2394},[748],[569,2396],{"className":2397,"style":744},[743],[569,2399,2401,2404],{"className":2400},[666],[569,2402],{"className":2403,"style":979},[670],[569,2405,939],{"className":2406},[675]," mit ",[569,2409,2411,2435],{"className":2410},[576],[569,2412,2414],{"className":2413},[580],[582,2415,2416],{"xmlns":584},[587,2417,2418,2432],{},[590,2419,2420,2422,2424,2426,2428,2430],{},[593,2421,595],{},[597,2423,600],{"stretchy":599},[593,2425,603],{},[597,2427,609],{"stretchy":599},[597,2429,623],{},[593,2431,603],{},[654,2433,2434],{"encoding":656},"f(x) = x",[569,2436,2438,2465],{"className":2437,"ariaHidden":662},[661],[569,2439,2441,2444,2447,2450,2453,2456,2459,2462],{"className":2440},[666],[569,2442],{"className":2443,"style":877},[670],[569,2445,595],{"className":2446,"style":677},[675,676],[569,2448,600],{"className":2449},[681],[569,2451,603],{"className":2452},[675,676],[569,2454,609],{"className":2455},[688],[569,2457],{"className":2458,"style":744},[743],[569,2460,623],{"className":2461},[748],[569,2463],{"className":2464,"style":744},[743],[569,2466,2468,2472],{"className":2467},[666],[569,2469],{"className":2470,"style":2471},[670],"height:0.4306em;",[569,2473,603],{"className":2474},[675,676]," und ",[569,2477,2479,2503],{"className":2478},[576],[569,2480,2482],{"className":2481},[580],[582,2483,2484],{"xmlns":584},[587,2485,2486,2500],{},[590,2487,2488,2490,2492,2494,2496,2498],{},[593,2489,614],{},[597,2491,600],{"stretchy":599},[593,2493,603],{},[597,2495,609],{"stretchy":599},[597,2497,623],{},[593,2499,603],{},[654,2501,2502],{"encoding":656},"g(x) = x",[569,2504,2506,2533],{"className":2505,"ariaHidden":662},[661],[569,2507,2509,2512,2515,2518,2521,2524,2527,2530],{"className":2508},[666],[569,2510],{"className":2511,"style":877},[670],[569,2513,614],{"className":2514,"style":730},[675,676],[569,2516,600],{"className":2517},[681],[569,2519,603],{"className":2520},[675,676],[569,2522,609],{"className":2523},[688],[569,2525],{"className":2526,"style":744},[743],[569,2528,623],{"className":2529},[748],[569,2531],{"className":2532,"style":744},[743],[569,2534,2536,2539],{"className":2535},[666],[569,2537],{"className":2538,"style":2471},[670],[569,2540,603],{"className":2541},[675,676],":",[569,2544,2546],{"className":2545},[572],[569,2547,2549,2636],{"className":2548},[576],[569,2550,2552],{"className":2551},[580],[582,2553,2554],{"xmlns":584,"display":585},[587,2555,2556,2633],{},[590,2557,2558,2560,2566,2572,2574,2580,2582,2611,2613,2619,2621,2623,2625,2627,2629,2631],{},[597,2559,600],{"stretchy":599},[605,2561,2562,2564],{},[593,2563,603],{},[593,2565,603],{},[605,2567,2568,2570],{},[597,2569,609],{"stretchy":599},[597,2571,1378],{"mathvariant":1376,"lspace":1377,"rspace":1377},[597,2573,623],{},[605,2575,2576,2578],{},[593,2577,603],{},[593,2579,603],{},[597,2581,1397],{},[590,2583,2584,2586,2589,2591,2593,2595,2597,2599,2601,2603,2609],{},[597,2585,600],{"fence":662},[937,2587,2588],{},"1",[597,2590,1397],{},[593,2592,641],{},[597,2594,644],{},[593,2596,603],{},[597,2598,1751],{},[593,2600,603],{},[597,2602,1397],{},[1763,2604,2605,2607],{},[937,2606,2588],{},[593,2608,603],{},[597,2610,609],{"fence":662},[597,2612,623],{},[605,2614,2615,2617],{},[593,2616,603],{},[593,2618,603],{},[597,2620,600],{"stretchy":599},[593,2622,641],{},[597,2624,644],{},[593,2626,603],{},[597,2628,1751],{},[937,2630,2588],{},[597,2632,609],{"stretchy":599},[654,2634,2635],{"encoding":656},"(x^x)' = x^x \\cdot \\left(1 \\cdot \\ln x + x \\cdot \\frac{1}{x}\\right) = x^x (\\ln x + 1)",[569,2637,2639,2720,2764,2900,2956],{"className":2638,"ariaHidden":662},[661],[569,2640,2642,2646,2649,2679,2711,2714,2717],{"className":2641},[666],[569,2643],{"className":2644,"style":2645},[670],"height:1.0519em;vertical-align:-0.25em;",[569,2647,600],{"className":2648},[681],[569,2650,2652,2655],{"className":2651},[675],[569,2653,603],{"className":2654},[675,676],[569,2656,2658],{"className":2657},[695],[569,2659,2661],{"className":2660},[699],[569,2662,2664],{"className":2663},[703],[569,2665,2668],{"className":2666,"style":2667},[707],"height:0.7144em;",[569,2669,2670,2673],{"style":711},[569,2671],{"className":2672,"style":716},[715],[569,2674,2676],{"className":2675},[720,721,722,723],[569,2677,603],{"className":2678},[675,676,723],[569,2680,2682,2685],{"className":2681},[688],[569,2683,609],{"className":2684},[688],[569,2686,2688],{"className":2687},[695],[569,2689,2691],{"className":2690},[699],[569,2692,2694],{"className":2693},[703],[569,2695,2697],{"className":2696,"style":2049},[707],[569,2698,2699,2702],{"style":711},[569,2700],{"className":2701,"style":716},[715],[569,2703,2705],{"className":2704},[720,721,722,723],[569,2706,2708],{"className":2707},[675,723],[569,2709,1378],{"className":2710},[675,723],[569,2712],{"className":2713,"style":744},[743],[569,2715,623],{"className":2716},[748],[569,2718],{"className":2719,"style":744},[743],[569,2721,2723,2726,2755,2758,2761],{"className":2722},[666],[569,2724],{"className":2725,"style":2667},[670],[569,2727,2729,2732],{"className":2728},[675],[569,2730,603],{"className":2731},[675,676],[569,2733,2735],{"className":2734},[695],[569,2736,2738],{"className":2737},[699],[569,2739,2741],{"className":2740},[703],[569,2742,2744],{"className":2743,"style":2667},[707],[569,2745,2746,2749],{"style":711},[569,2747],{"className":2748,"style":716},[715],[569,2750,2752],{"className":2751},[720,721,722,723],[569,2753,603],{"className":2754},[675,676,723],[569,2756],{"className":2757,"style":1564},[743],[569,2759,1397],{"className":2760},[1568],[569,2762],{"className":2763,"style":1564},[743],[569,2765,2767,2770,2891,2894,2897],{"className":2766},[666],[569,2768],{"className":2769,"style":2021},[670],[569,2771,2773,2779,2782,2785,2788,2791,2794,2797,2800,2803,2806,2809,2812,2815,2818,2821,2885],{"className":2772},[1807],[569,2774,2776],{"className":2775,"style":1815},[681,1814],[569,2777,600],{"className":2778},[1819,722],[569,2780,2588],{"className":2781},[675],[569,2783],{"className":2784,"style":1564},[743],[569,2786,1397],{"className":2787},[1568],[569,2789],{"className":2790,"style":1564},[743],[569,2792,641],{"className":2793},[806],[569,2795],{"className":2796,"style":893},[743],[569,2798,603],{"className":2799},[675,676],[569,2801],{"className":2802,"style":1564},[743],[569,2804,1751],{"className":2805},[1568],[569,2807],{"className":2808,"style":1564},[743],[569,2810,603],{"className":2811},[675,676],[569,2813],{"className":2814,"style":1564},[743],[569,2816,1397],{"className":2817},[1568],[569,2819],{"className":2820,"style":1564},[743],[569,2822,2824,2827,2882],{"className":2823},[675],[569,2825],{"className":2826},[681,2130],[569,2828,2830],{"className":2829},[1763],[569,2831,2833,2873],{"className":2832},[699,2137],[569,2834,2836,2870],{"className":2835},[703],[569,2837,2840,2851,2859],{"className":2838,"style":2839},[707],"height:1.3214em;",[569,2841,2842,2845],{"style":2147},[569,2843],{"className":2844,"style":2151},[715],[569,2846,2848],{"className":2847},[675],[569,2849,603],{"className":2850},[675,676],[569,2852,2853,2856],{"style":2169},[569,2854],{"className":2855,"style":2151},[715],[569,2857],{"className":2858,"style":2177},[2176],[569,2860,2861,2864],{"style":2180},[569,2862],{"className":2863,"style":2151},[715],[569,2865,2867],{"className":2866},[675],[569,2868,2588],{"className":2869},[675],[569,2871,2232],{"className":2872},[2231],[569,2874,2876],{"className":2875},[703],[569,2877,2880],{"className":2878,"style":2879},[707],"height:0.686em;",[569,2881],{},[569,2883],{"className":2884},[688,2130],[569,2886,2888],{"className":2887,"style":1815},[688,1814],[569,2889,609],{"className":2890},[1819,722],[569,2892],{"className":2893,"style":744},[743],[569,2895,623],{"className":2896},[748],[569,2898],{"className":2899,"style":744},[743],[569,2901,2903,2906,2935,2938,2941,2944,2947,2950,2953],{"className":2902},[666],[569,2904],{"className":2905,"style":877},[670],[569,2907,2909,2912],{"className":2908},[675],[569,2910,603],{"className":2911},[675,676],[569,2913,2915],{"className":2914},[695],[569,2916,2918],{"className":2917},[699],[569,2919,2921],{"className":2920},[703],[569,2922,2924],{"className":2923,"style":2667},[707],[569,2925,2926,2929],{"style":711},[569,2927],{"className":2928,"style":716},[715],[569,2930,2932],{"className":2931},[720,721,722,723],[569,2933,603],{"className":2934},[675,676,723],[569,2936,600],{"className":2937},[681],[569,2939,641],{"className":2940},[806],[569,2942],{"className":2943,"style":893},[743],[56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der Stelle ",[569,2972,2974,2993],{"className":2973},[576],[569,2975,2977],{"className":2976},[580],[582,2978,2979],{"xmlns":584},[587,2980,2981,2990],{},[590,2982,2983,2985,2987],{},[593,2984,603],{},[597,2986,623],{},[937,2988,2989],{},"2",[654,2991,2992],{"encoding":656},"x = 2",[569,2994,2996,3014],{"className":2995,"ariaHidden":662},[661],[569,2997,2999,3002,3005,3008,3011],{"className":2998},[666],[569,3000],{"className":3001,"style":2471},[670],[569,3003,603],{"className":3004},[675,676],[569,3006],{"className":3007,"style":744},[743],[569,3009,623],{"className":3010},[748],[569,3012],{"className":3013,"style":744},[743],[569,3015,3017,3020],{"className":3016},[666],[569,3018],{"className":3019,"style":979},[670],[569,3021,2989],{"className":3022},[675]," ist die Steigung 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Die Ableitung ist null, wenn ",[569,3204,3206,3231],{"className":3205},[576],[569,3207,3209],{"className":3208},[580],[582,3210,3211],{"xmlns":584},[587,3212,3213,3228],{},[590,3214,3215,3217,3219,3221,3223,3226],{},[593,3216,641],{},[597,3218,644],{},[593,3220,603],{},[597,3222,623],{},[597,3224,3225],{},"−",[937,3227,2588],{},[654,3229,3230],{"encoding":656},"\\ln x = 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",[569,3274,3276,3298],{"className":3275},[576],[569,3277,3279],{"className":3278},[580],[582,3280,3281],{"xmlns":584},[587,3282,3283,3295],{},[590,3284,3285,3287,3289],{},[593,3286,603],{},[597,3288,623],{},[1763,3290,3291,3293],{},[937,3292,2588],{},[593,3294,628],{},[654,3296,3297],{"encoding":656},"x = 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