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e^{kx}",[573,1036,1038,1143,1164],{"className":1037,"ariaHidden":626},[625],[573,1039,1041,1045,1134,1137,1140],{"className":1040},[630],[573,1042],{"className":1043,"style":1044},[634],"height:1.3909em;vertical-align:-0.35em;",[573,1046,1049,1106],{"className":1047},[1048],"minner",[573,1050,1052,1062,1100],{"className":1051},[1048],[573,1053,1057],{"className":1054,"style":1056},[645,1055],"delimcenter","top:0em;",[573,1058,599],{"className":1059},[1060,1061],"delimsizing","size1",[573,1063,1065,1068],{"className":1064},[639],[573,1066,614],{"className":1067},[639,640],[573,1069,1071],{"className":1070},[681],[573,1072,1074],{"className":1073},[685],[573,1075,1077],{"className":1076},[689],[573,1078,1081],{"className":1079,"style":1080},[693],"height:0.8991em;",[573,1082,1084,1087],{"style":1083},"top:-3.113em;margin-right:0.05em;",[573,1085],{"className":1086,"style":701},[700],[573,1088,1090],{"className":1089},[705,706,707,708],[573,1091,1093,1097],{"className":1092},[639,708],[573,1094,1005],{"className":1095,"style":1096},[639,640,708],"margin-right:0.0315em;",[573,1098,602],{"className":1099},[639,640,708],[573,1101,1103],{"className":1102,"style":1056},[652,1055],[573,1104,605],{"className":1105},[1060,1061],[573,1107,1109],{"className":1108},[681],[573,1110,1112],{"className":1111},[685],[573,1113,1115],{"className":1114},[689],[573,1116,1119],{"className":1117,"style":1118},[693],"height:1.0409em;",[573,1120,1122,1125],{"style":1121},"top:-3.352em;margin-right:0.05em;",[573,1123],{"className":1124,"style":701},[700],[573,1126,1128],{"className":1127},[705,706,707,708],[573,1129,1131],{"className":1130},[639,708],[573,1132,1014],{"className":1133},[639,708],[573,1135],{"className":1136,"style":657},[656],[573,1138,608],{"className":1139},[661],[573,1141],{"className":1142,"style":657},[656],[573,1144,1146,1150,1153,1157,1161],{"className":1145},[630],[573,1147],{"className":1148,"style":1149},[634],"height:0.6944em;",[573,1151,1005],{"className":1152,"style":1096},[639,640],[573,1154],{"className":1155,"style":1156},[656],"margin-right:0.2222em;",[573,1158,1021],{"className":1159},[1160],"mbin",[573,1162],{"className":1163,"style":1156},[656],[573,1165,1167,1170],{"className":1166},[630],[573,1168],{"className":1169,"style":1080},[634],[573,1171,1173,1176],{"className":1172},[639],[573,1174,614],{"className":1175},[639,640],[573,1177,1179],{"className":1178},[681],[573,1180,1182],{"className":1181},[685],[573,1183,1185],{"className":1184},[689],[573,1186,1188],{"className":1187,"style":1080},[693],[573,1189,1190,1193],{"style":1083},[573,1191],{"className":1192,"style":701},[700],[573,1194,1196],{"className":1195},[705,706,707,708],[573,1197,1199,1202],{"className":1198},[639,708],[573,1200,1005],{"className":1201,"style":1096},[639,640,708],[573,1203,602],{"className":1204},[639,640,708],[564,1206,1207,1208,1238,1239,1282,1283,1342],{},"Für andere Basen ",[573,1209,1211,1225],{"className":1210},[576],[573,1212,1214],{"className":1213},[580],[582,1215,1216],{"xmlns":584},[586,1217,1218,1223],{},[589,1219,1220],{},[592,1221,1222],{},"a",[618,1224,1222],{"encoding":620},[573,1226,1228],{"className":1227,"ariaHidden":626},[625],[573,1229,1231,1235],{"className":1230},[630],[573,1232],{"className":1233,"style":1234},[634],"height:0.4306em;",[573,1236,1222],{"className":1237},[639,640]," kommt der Faktor ",[573,1240,1242,1262],{"className":1241},[576],[573,1243,1245],{"className":1244},[580],[582,1246,1247],{"xmlns":584},[586,1248,1249,1259],{},[589,1250,1251,1254,1257],{},[592,1252,1253],{},"ln",[596,1255,1256],{},"⁡",[592,1258,1222],{},[618,1260,1261],{"encoding":620},"\\ln a",[573,1263,1265],{"className":1264,"ariaHidden":626},[625],[573,1266,1268,1271,1275,1279],{"className":1267},[630],[573,1269],{"className":1270,"style":1149},[634],[573,1272,1253],{"className":1273},[1274],"mop",[573,1276],{"className":1277,"style":1278},[656],"margin-right:0.1667em;",[573,1280,1222],{"className":1281},[639,640]," hinzu, siehe Ableitung von ",[573,1284,1286,1304],{"className":1285},[576],[573,1287,1289],{"className":1288},[580],[582,1290,1291],{"xmlns":584},[586,1292,1293,1301],{},[589,1294,1295],{},[610,1296,1297,1299],{},[592,1298,1222],{},[592,1300,602],{},[618,1302,1303],{"encoding":620},"a^x",[573,1305,1307],{"className":1306,"ariaHidden":626},[625],[573,1308,1310,1313],{"className":1309},[630],[573,1311],{"className":1312,"style":671},[634],[573,1314,1316,1319],{"className":1315},[639],[573,1317,1222],{"className":1318},[639,640],[573,1320,1322],{"className":1321},[681],[573,1323,1325],{"className":1324},[685],[573,1326,1328],{"className":1327},[689],[573,1329,1331],{"className":1330,"style":671},[693],[573,1332,1333,1336],{"style":696},[573,1334],{"className":1335,"style":701},[700],[573,1337,1339],{"className":1338},[705,706,707,708],[573,1340,602],{"className":1341},[639,640,708],".",[559,1344,1346],{"id":1345},"beispiele","Beispiele",[573,1348,1350],{"className":1349},[977],[573,1351,1353,1466],{"className":1352},[576],[573,1354,1356],{"className":1355},[580],[582,1357,1358],{"xmlns":584,"display":986},[586,1359,1360,1463],{},[589,1361,1362,1364,1366,1368,1370,1372,1375,1385,1389,1392,1394,1400,1402,1404,1406,1408,1410,1412,1414,1416,1426,1428,1431,1441,1443,1446,1452,1454,1457,1459,1461],{},[592,1363,594],{},[596,1365,599],{"stretchy":598},[592,1367,602],{},[596,1369,605],{"stretchy":598},[596,1371,608],{},[797,1373,1374],{},"3",[610,1376,1377,1379],{},[592,1378,614],{},[589,1380,1381,1383],{},[797,1382,835],{},[592,1384,602],{},[1386,1387,1388],"mtext",{},"  ",[596,1390,1391],{},"⇒",[1386,1393,1388],{},[610,1395,1396,1398],{},[592,1397,594],{},[596,1399,1014],{"mathvariant":1012,"lspace":1013,"rspace":1013},[596,1401,599],{"stretchy":598},[592,1403,602],{},[596,1405,605],{"stretchy":598},[596,1407,608],{},[797,1409,1374],{},[596,1411,1021],{},[797,1413,835],{},[596,1415,1021],{},[610,1417,1418,1420],{},[592,1419,614],{},[589,1421,1422,1424],{},[797,1423,835],{},[592,1425,602],{},[596,1427,608],{},[797,1429,1430],{},"6",[610,1432,1433,1435],{},[592,1434,614],{},[589,1436,1437,1439],{},[797,1438,835],{},[592,1440,602],{},[596,1442,843],{"separator":626},[656,1444],{"width":1445},"1em",[610,1447,1448,1450],{},[592,1449,594],{},[596,1451,1014],{"mathvariant":1012,"lspace":1013,"rspace":1013},[596,1453,599],{"stretchy":598},[797,1455,1456],{},"0",[596,1458,605],{"stretchy":598},[596,1460,608],{},[797,1462,1430],{},[618,1464,1465],{"encoding":620},"f(x) = 3e^{2x} \\;\\Rightarrow\\; f'(x) = 3 \\cdot 2 \\cdot e^{2x} = 6e^{2x}, \\quad f'(0) = 6",[573,1467,1469,1496,1556,1614,1632,1650,1700,1805],{"className":1468,"ariaHidden":626},[625],[573,1470,1472,1475,1478,1481,1484,1487,1490,1493],{"className":1471},[630],[573,1473],{"className":1474,"style":635},[634],[573,1476,594],{"className":1477,"style":641},[639,640],[573,1479,599],{"className":1480},[645],[573,1482,602],{"className":1483},[639,640],[573,1485,605],{"className":1486},[652],[573,1488],{"className":1489,"style":657},[656],[573,1491,608],{"className":1492},[661],[573,1494],{"className":1495,"style":657},[656],[573,1497,1499,1503,1506,1541,1544,1547,1550,1553],{"className":1498},[630],[573,1500],{"className":1501,"style":1502},[634],"height:0.8641em;",[573,1504,1374],{"className":1505},[639],[573,1507,1509,1512],{"className":1508},[639],[573,1510,614],{"className":1511},[639,640],[573,1513,1515],{"className":1514},[681],[573,1516,1518],{"className":1517},[685],[573,1519,1521],{"className":1520},[689],[573,1522,1524],{"className":1523,"style":1502},[693],[573,1525,1526,1529],{"style":1083},[573,1527],{"className":1528,"style":701},[700],[573,1530,1532],{"className":1531},[705,706,707,708],[573,1533,1535,1538],{"className":1534},[639,708],[573,1536,835],{"className":1537},[639,708],[573,1539,602],{"className":1540},[639,640,708],[573,1542],{"className":1543,"style":657},[656],[573,1545],{"className":1546,"style":657},[656],[573,1548,1391],{"className":1549},[661],[573,1551],{"className":1552,"style":657},[656],[573,1554],{"className":1555,"style":657},[656],[573,1557,1559,1563,1596,1599,1602,1605,1608,1611],{"className":1558},[630],[573,1560],{"className":1561,"style":1562},[634],"height:1.0519em;vertical-align:-0.25em;",[573,1564,1566,1569],{"className":1565},[639],[573,1567,594],{"className":1568,"style":641},[639,640],[573,1570,1572],{"className":1571},[681],[573,1573,1575],{"className":1574},[685],[573,1576,1578],{"className":1577},[689],[573,1579,1582],{"className":1580,"style":1581},[693],"height:0.8019em;",[573,1583,1584,1587],{"style":1083},[573,1585],{"className":1586,"style":701},[700],[573,1588,1590],{"className":1589},[705,706,707,708],[573,1591,1593],{"className":1592},[639,708],[573,1594,1014],{"className":1595},[639,708],[573,1597,599],{"className":1598},[645],[573,1600,602],{"className":1601},[639,640],[573,1603,605],{"className":1604},[652],[573,1606],{"className":1607,"style":657},[656],[573,1609,608],{"className":1610},[661],[573,1612],{"className":1613,"style":657},[656],[573,1615,1617,1620,1623,1626,1629],{"className":1616},[630],[573,1618],{"className":1619,"style":966},[634],[573,1621,1374],{"className":1622},[639],[573,1624],{"className":1625,"style":1156},[656],[573,1627,1021],{"className":1628},[1160],[573,1630],{"className":1631,"style":1156},[656],[573,1633,1635,1638,1641,1644,1647],{"className":1634},[630],[573,1636],{"className":1637,"style":966},[634],[573,1639,835],{"className":1640},[639],[573,1642],{"className":1643,"style":1156},[656],[573,1645,1021],{"className":1646},[1160],[573,1648],{"className":1649,"style":1156},[656],[573,1651,1653,1656,1691,1694,1697],{"className":1652},[630],[573,1654],{"className":1655,"style":1502},[634],[573,1657,1659,1662],{"className":1658},[639],[573,1660,614],{"className":1661},[639,640],[573,1663,1665],{"className":1664},[681],[573,1666,1668],{"className":1667},[685],[573,1669,1671],{"className":1670},[689],[573,1672,1674],{"className":1673,"style":1502},[693],[573,1675,1676,1679],{"style":1083},[573,1677],{"className":1678,"style":701},[700],[573,1680,1682],{"className":1681},[705,706,707,708],[573,1683,1685,1688],{"className":1684},[639,708],[573,1686,835],{"className":1687},[639,708],[573,1689,602],{"className":1690},[639,640,708],[573,1692],{"className":1693,"style":657},[656],[573,1695,608],{"className":1696},[661],[573,1698],{"className":1699,"style":657},[656],[573,1701,1703,1707,1710,1745,1748,1752,1755,1787,1790,1793,1796,1799,1802],{"className":1702},[630],[573,1704],{"className":1705,"style":1706},[634],"height:1.1141em;vertical-align:-0.25em;",[573,1708,1430],{"className":1709},[639],[573,1711,1713,1716],{"className":1712},[639],[573,1714,614],{"className":1715},[639,640],[573,1717,1719],{"className":1718},[681],[573,1720,1722],{"className":1721},[685],[573,1723,1725],{"className":1724},[689],[573,1726,1728],{"className":1727,"style":1502},[693],[573,1729,1730,1733],{"style":1083},[573,1731],{"className":1732,"style":701},[700],[573,1734,1736],{"className":1735},[705,706,707,708],[573,1737,1739,1742],{"className":1738},[639,708],[573,1740,835],{"className":1741},[639,708],[573,1743,602],{"className":1744},[639,640,708],[573,1746,843],{"className":1747},[842],[573,1749],{"className":1750,"style":1751},[656],"margin-right:1em;",[573,1753],{"className":1754,"style":1278},[656],[573,1756,1758,1761],{"className":1757},[639],[573,1759,594],{"className":1760,"style":641},[639,640],[573,1762,1764],{"className":1763},[681],[573,1765,1767],{"className":1766},[685],[573,1768,1770],{"className":1769},[689],[573,1771,1773],{"className":1772,"style":1581},[693],[573,1774,1775,1778],{"style":1083},[573,1776],{"className":1777,"style":701},[700],[573,1779,1781],{"className":1780},[705,706,707,708],[573,1782,1784],{"className":1783},[639,708],[573,1785,1014],{"className":1786},[639,708],[573,1788,599],{"className":1789},[645],[573,1791,1456],{"className":1792},[639],[573,1794,605],{"className":1795},[652],[573,1797],{"className":1798,"style":657},[656],[573,1800,608],{"className":1801},[661],[573,1803],{"className":1804,"style":657},[656],[573,1806,1808,1811],{"className":1807},[630],[573,1809],{"className":1810,"style":966},[634],[573,1812,1430],{"className":1813},[639],[564,1815,1816],{},"Mit der Produktregel:",[573,1818,1820],{"className":1819},[977],[573,1821,1823,1919],{"className":1822},[576],[573,1824,1826],{"className":1825},[580],[582,1827,1828],{"xmlns":584,"display":986},[586,1829,1830,1916],{},[589,1831,1832,1834,1836,1838,1840,1842,1844,1846,1852,1854,1856,1858,1864,1866,1868,1870,1872,1874,1876,1882,1885,1887,1889,1895,1897,1899,1901,1903,1905,1907,1910],{},[592,1833,594],{},[596,1835,599],{"stretchy":598},[592,1837,602],{},[596,1839,605],{"stretchy":598},[596,1841,608],{},[592,1843,602],{},[596,1845,1021],{},[610,1847,1848,1850],{},[592,1849,614],{},[592,1851,602],{},[1386,1853,1388],{},[596,1855,1391],{},[1386,1857,1388],{},[610,1859,1860,1862],{},[592,1861,594],{},[596,1863,1014],{"mathvariant":1012,"lspace":1013,"rspace":1013},[596,1865,599],{"stretchy":598},[592,1867,602],{},[596,1869,605],{"stretchy":598},[596,1871,608],{},[797,1873,954],{},[596,1875,1021],{},[610,1877,1878,1880],{},[592,1879,614],{},[592,1881,602],{},[596,1883,1884],{},"+",[592,1886,602],{},[596,1888,1021],{},[610,1890,1891,1893],{},[592,1892,614],{},[592,1894,602],{},[596,1896,608],{},[596,1898,599],{"stretchy":598},[797,1900,954],{},[596,1902,1884],{},[592,1904,602],{},[596,1906,605],{"stretchy":598},[1386,1908,1909],{}," ",[610,1911,1912,1914],{},[592,1913,614],{},[592,1915,602],{},[618,1917,1918],{"encoding":620},"f(x) = x \\cdot e^x \\;\\Rightarrow\\; f'(x) = 1 \\cdot e^x + x \\cdot e^x = (1 + x)\\,e^x",[573,1920,1922,1949,1968,2019,2075,2093,2138,2156,2200,2221],{"className":1921,"ariaHidden":626},[625],[573,1923,1925,1928,1931,1934,1937,1940,1943,1946],{"className":1924},[630],[573,1926],{"className":1927,"style":635},[634],[573,1929,594],{"className":1930,"style":641},[639,640],[573,1932,599],{"className":1933},[645],[573,1935,602],{"className":1936},[639,640],[573,1938,605],{"className":1939},[652],[573,1941],{"className":1942,"style":657},[656],[573,1944,608],{"className":1945},[661],[573,1947],{"className":1948,"style":657},[656],[573,1950,1952,1956,1959,1962,1965],{"className":1951},[630],[573,1953],{"className":1954,"style":1955},[634],"height:0.4445em;",[573,1957,602],{"className":1958},[639,640],[573,1960],{"className":1961,"style":1156},[656],[573,1963,1021],{"className":1964},[1160],[573,1966],{"className":1967,"style":1156},[656],[573,1969,1971,1975,2004,2007,2010,2013,2016],{"className":1970},[630],[573,1972],{"className":1973,"style":1974},[634],"height:0.7144em;",[573,1976,1978,1981],{"className":1977},[639],[573,1979,614],{"className":1980},[639,640],[573,1982,1984],{"className":1983},[681],[573,1985,1987],{"className":1986},[685],[573,1988,1990],{"className":1989},[689],[573,1991,1993],{"className":1992,"style":1974},[693],[573,1994,1995,1998],{"style":1083},[573,1996],{"className":1997,"style":701},[700],[573,1999,2001],{"className":2000},[705,706,707,708],[573,2002,602],{"className":2003},[639,640,708],[573,2005],{"className":2006,"style":657},[656],[573,2008],{"className":2009,"style":657},[656],[573,2011,1391],{"className":2012},[661],[573,2014],{"className":2015,"style":657},[656],[573,2017],{"className":2018,"style":657},[656],[573,2020,2022,2025,2057,2060,2063,2066,2069,2072],{"className":2021},[630],[573,2023],{"className":2024,"style":1562},[634],[573,2026,2028,2031],{"className":2027},[639],[573,2029,594],{"className":2030,"style":641},[639,640],[573,2032,2034],{"className":2033},[681],[573,2035,2037],{"className":2036},[685],[573,2038,2040],{"className":2039},[689],[573,2041,2043],{"className":2042,"style":1581},[693],[573,2044,2045,2048],{"style":1083},[573,2046],{"className":2047,"style":701},[700],[573,2049,2051],{"className":2050},[705,706,707,708],[573,2052,2054],{"className":2053},[639,708],[573,2055,1014],{"className":2056},[639,708],[573,2058,599],{"className":2059},[645],[573,2061,602],{"className":2062},[639,640],[573,2064,605],{"className":2065},[652],[573,2067],{"className":2068,"style":657},[656],[573,2070,608],{"className":2071},[661],[573,2073],{"className":2074,"style":657},[656],[573,2076,2078,2081,2084,2087,2090],{"className":2077},[630],[573,2079],{"className":2080,"style":966},[634],[573,2082,954],{"className":2083},[639],[573,2085],{"className":2086,"style":1156},[656],[573,2088,1021],{"className":2089},[1160],[573,2091],{"className":2092,"style":1156},[656],[573,2094,2096,2100,2129,2132,2135],{"className":2095},[630],[573,2097],{"className":2098,"style":2099},[634],"height:0.7977em;vertical-align:-0.0833em;",[573,2101,2103,2106],{"className":2102},[639],[573,2104,614],{"className":2105},[639,640],[573,2107,2109],{"className":2108},[681],[573,2110,2112],{"className":2111},[685],[573,2113,2115],{"className":2114},[689],[573,2116,2118],{"className":2117,"style":1974},[693],[573,2119,2120,2123],{"style":1083},[573,2121],{"className":2122,"style":701},[700],[573,2124,2126],{"className":2125},[705,706,707,708],[573,2127,602],{"className":2128},[639,640,708],[573,2130],{"className":2131,"style":1156},[656],[573,2133,1884],{"className":2134},[1160],[573,2136],{"className":2137,"style":1156},[656],[573,2139,2141,2144,2147,2150,2153],{"className":2140},[630],[573,2142],{"className":2143,"style":1955},[634],[573,2145,602],{"className":2146},[639,640],[573,2148],{"className":2149,"style":1156},[656],[573,2151,1021],{"className":2152},[1160],[573,2154],{"className":2155,"style":1156},[656],[573,2157,2159,2162,2191,2194,2197],{"className":2158},[630],[573,2160],{"className":2161,"style":1974},[634],[573,2163,2165,2168],{"className":2164},[639],[573,2166,614],{"className":2167},[639,640],[573,2169,2171],{"className":2170},[681],[573,2172,2174],{"className":2173},[685],[573,2175,2177],{"className":2176},[689],[573,2178,2180],{"className":2179,"style":1974},[693],[573,2181,2182,2185],{"style":1083},[573,2183],{"className":2184,"style":701},[700],[573,2186,2188],{"className":2187},[705,706,707,708],[573,2189,602],{"className":2190},[639,640,708],[573,2192],{"className":2193,"style":657},[656],[573,2195,608],{"className":2196},[661],[573,2198],{"className":2199,"style":657},[656],[573,2201,2203,2206,2209,2212,2215,2218],{"className":2202},[630],[573,2204],{"className":2205,"style":635},[634],[573,2207,599],{"className":2208},[645],[573,2210,954],{"className":2211},[639],[573,2213],{"className":2214,"style":1156},[656],[573,2216,1884],{"className":2217},[1160],[573,2219],{"className":2220,"style":1156},[656],[573,2222,2224,2227,2230,2233,2236],{"className":2223},[630],[573,2225],{"className":2226,"style":635},[634],[573,2228,602],{"className":2229},[639,640],[573,2231,605],{"className":2232},[652],[573,2234],{"className":2235,"style":1278},[656],[573,2237,2239,2242],{"className":2238},[639],[573,2240,614],{"className":2241},[639,640],[573,2243,2245],{"className":2244},[681],[573,2246,2248],{"className":2247},[685],[573,2249,2251],{"className":2250},[689],[573,2252,2254],{"className":2253,"style":1974},[693],[573,2255,2256,2259],{"style":1083},[573,2257],{"className":2258,"style":701},[700],[573,2260,2262],{"className":2261},[705,706,707,708],[573,2263,602],{"className":2264},[639,640,708],[559,2266,2268],{"id":2267},"typische-fehler","Typische Fehler",[2270,2271,2272,2472,2794],"ul",{},[2273,2274,2275,2276,2471],"li",{},"Die Potenzregel anwenden: ",[573,2277,2279,2324],{"className":2278},[576],[573,2280,2282],{"className":2281},[580],[582,2283,2284],{"xmlns":584},[586,2285,2286,2321],{},[589,2287,2288,2290,2296,2302,2304,2306,2308],{},[596,2289,599],{"stretchy":598},[610,2291,2292,2294],{},[592,2293,614],{},[592,2295,602],{},[610,2297,2298,2300],{},[596,2299,605],{"stretchy":598},[596,2301,1014],{"mathvariant":1012,"lspace":1013,"rspace":1013},[596,2303,608],{},[592,2305,602],{},[596,2307,1021],{},[610,2309,2310,2312],{},[592,2311,614],{},[589,2313,2314,2316,2319],{},[592,2315,602],{},[596,2317,2318],{},"−",[797,2320,954],{},[618,2322,2323],{"encoding":620},"(e^x)' = x \\cdot e^{x-1}",[573,2325,2327,2408,2426],{"className":2326,"ariaHidden":626},[625],[573,2328,2330,2334,2337,2366,2399,2402,2405],{"className":2329},[630],[573,2331],{"className":2332,"style":2333},[634],"height:1.0019em;vertical-align:-0.25em;",[573,2335,599],{"className":2336},[645],[573,2338,2340,2343],{"className":2339},[639],[573,2341,614],{"className":2342},[639,640],[573,2344,2346],{"className":2345},[681],[573,2347,2349],{"className":2348},[685],[573,2350,2352],{"className":2351},[689],[573,2353,2355],{"className":2354,"style":671},[693],[573,2356,2357,2360],{"style":696},[573,2358],{"className":2359,"style":701},[700],[573,2361,2363],{"className":2362},[705,706,707,708],[573,2364,602],{"className":2365},[639,640,708],[573,2367,2369,2372],{"className":2368},[652],[573,2370,605],{"className":2371},[652],[573,2373,2375],{"className":2374},[681],[573,2376,2378],{"className":2377},[685],[573,2379,2381],{"className":2380},[689],[573,2382,2385],{"className":2383,"style":2384},[693],"height:0.7519em;",[573,2386,2387,2390],{"style":696},[573,2388],{"className":2389,"style":701},[700],[573,2391,2393],{"className":2392},[705,706,707,708],[573,2394,2396],{"className":2395},[639,708],[573,2397,1014],{"className":2398},[639,708],[573,2400],{"className":2401,"style":657},[656],[573,2403,608],{"className":2404},[661],[573,2406],{"className":2407,"style":657},[656],[573,2409,2411,2414,2417,2420,2423],{"className":2410},[630],[573,2412],{"className":2413,"style":1955},[634],[573,2415,602],{"className":2416},[639,640],[573,2418],{"className":2419,"style":1156},[656],[573,2421,1021],{"className":2422},[1160],[573,2424],{"className":2425,"style":1156},[656],[573,2427,2429,2433],{"className":2428},[630],[573,2430],{"className":2431,"style":2432},[634],"height:0.8141em;",[573,2434,2436,2439],{"className":2435},[639],[573,2437,614],{"className":2438},[639,640],[573,2440,2442],{"className":2441},[681],[573,2443,2445],{"className":2444},[685],[573,2446,2448],{"className":2447},[689],[573,2449,2451],{"className":2450,"style":2432},[693],[573,2452,2453,2456],{"style":696},[573,2454],{"className":2455,"style":701},[700],[573,2457,2459],{"className":2458},[705,706,707,708],[573,2460,2462,2465,2468],{"className":2461},[639,708],[573,2463,602],{"className":2464},[639,640,708],[573,2466,2318],{"className":2467},[1160,708],[573,2469,954],{"className":2470},[639,708]," ist falsch. Die Variable steht im Exponenten, nicht in der Basis.",[2273,2473,2474,2475,2544,2545,2725,2726,1342],{},"Bei ",[573,2476,2478,2500],{"className":2477},[576],[573,2479,2481],{"className":2480},[580],[582,2482,2483],{"xmlns":584},[586,2484,2485,2497],{},[589,2486,2487],{},[610,2488,2489,2491],{},[592,2490,614],{},[589,2492,2493,2495],{},[797,2494,835],{},[592,2496,602],{},[618,2498,2499],{"encoding":620},"e^{2x}",[573,2501,2503],{"className":2502,"ariaHidden":626},[625],[573,2504,2506,2509],{"className":2505},[630],[573,2507],{"className":2508,"style":2432},[634],[573,2510,2512,2515],{"className":2511},[639],[573,2513,614],{"className":2514},[639,640],[573,2516,2518],{"className":2517},[681],[573,2519,2521],{"className":2520},[685],[573,2522,2524],{"className":2523},[689],[573,2525,2527],{"className":2526,"style":2432},[693],[573,2528,2529,2532],{"style":696},[573,2530],{"className":2531,"style":701},[700],[573,2533,2535],{"className":2534},[705,706,707,708],[573,2536,2538,2541],{"className":2537},[639,708],[573,2539,835],{"className":2540},[639,708],[573,2542,602],{"className":2543},[639,640,708]," die innere Ableitung vergessen: ",[573,2546,2548,2592],{"className":2547},[576],[573,2549,2551],{"className":2550},[580],[582,2552,2553],{"xmlns":584},[586,2554,2555,2589],{},[589,2556,2557,2559,2569,2575,2577,2579],{},[596,2558,599],{"stretchy":598},[610,2560,2561,2563],{},[592,2562,614],{},[589,2564,2565,2567],{},[797,2566,835],{},[592,2568,602],{},[610,2570,2571,2573],{},[596,2572,605],{"stretchy":598},[596,2574,1014],{"mathvariant":1012,"lspace":1013,"rspace":1013},[596,2576,608],{},[797,2578,835],{},[610,2580,2581,2583],{},[592,2582,614],{},[589,2584,2585,2587],{},[797,2586,835],{},[592,2588,602],{},[618,2590,2591],{"encoding":620},"(e^{2x})' = 2e^{2x}",[573,2593,2595,2681],{"className":2594,"ariaHidden":626},[625],[573,2596,2598,2602,2605,2640,2672,2675,2678],{"className":2597},[630],[573,2599],{"className":2600,"style":2601},[634],"height:1.0641em;vertical-align:-0.25em;",[573,2603,599],{"className":2604},[645],[573,2606,2608,2611],{"className":2607},[639],[573,2609,614],{"className":2610},[639,640],[573,2612,2614],{"className":2613},[681],[573,2615,2617],{"className":2616},[685],[573,2618,2620],{"className":2619},[689],[573,2621,2623],{"className":2622,"style":2432},[693],[573,2624,2625,2628],{"style":696},[573,2626],{"className":2627,"style":701},[700],[573,2629,2631],{"className":2630},[705,706,707,708],[573,2632,2634,2637],{"className":2633},[639,708],[573,2635,835],{"className":2636},[639,708],[573,2638,602],{"className":2639},[639,640,708],[573,2641,2643,2646],{"className":2642},[652],[573,2644,605],{"className":2645},[652],[573,2647,2649],{"className":2648},[681],[573,2650,2652],{"className":2651},[685],[573,2653,2655],{"className":2654},[689],[573,2656,2658],{"className":2657,"style":2384},[693],[573,2659,2660,2663],{"style":696},[573,2661],{"className":2662,"style":701},[700],[573,2664,2666],{"className":2665},[705,706,707,708],[573,2667,2669],{"className":2668},[639,708],[573,2670,1014],{"className":2671},[639,708],[573,2673],{"className":2674,"style":657},[656],[573,2676,608],{"className":2677},[661],[573,2679],{"className":2680,"style":657},[656],[573,2682,2684,2687,2690],{"className":2683},[630],[573,2685],{"className":2686,"style":2432},[634],[573,2688,835],{"className":2689},[639],[573,2691,2693,2696],{"className":2692},[639],[573,2694,614],{"className":2695},[639,640],[573,2697,2699],{"className":2698},[681],[573,2700,2702],{"className":2701},[685],[573,2703,2705],{"className":2704},[689],[573,2706,2708],{"className":2707,"style":2432},[693],[573,2709,2710,2713],{"style":696},[573,2711],{"className":2712,"style":701},[700],[573,2714,2716],{"className":2715},[705,706,707,708],[573,2717,2719,2722],{"className":2718},[639,708],[573,2720,835],{"className":2721},[639,708],[573,2723,602],{"className":2724},[639,640,708],", nicht ",[573,2727,2729,2750],{"className":2728},[576],[573,2730,2732],{"className":2731},[580],[582,2733,2734],{"xmlns":584},[586,2735,2736,2748],{},[589,2737,2738],{},[610,2739,2740,2742],{},[592,2741,614],{},[589,2743,2744,2746],{},[797,2745,835],{},[592,2747,602],{},[618,2749,2499],{"encoding":620},[573,2751,2753],{"className":2752,"ariaHidden":626},[625],[573,2754,2756,2759],{"className":2755},[630],[573,2757],{"className":2758,"style":2432},[634],[573,2760,2762,2765],{"className":2761},[639],[573,2763,614],{"className":2764},[639,640],[573,2766,2768],{"className":2767},[681],[573,2769,2771],{"className":2770},[685],[573,2772,2774],{"className":2773},[689],[573,2775,2777],{"className":2776,"style":2432},[693],[573,2778,2779,2782],{"style":696},[573,2780],{"className":2781,"style":701},[700],[573,2783,2785],{"className":2784},[705,706,707,708],[573,2786,2788,2791],{"className":2787},[639,708],[573,2789,835],{"className":2790},[639,708],[573,2792,602],{"className":2793},[639,640,708],[2273,2795,2474,2796,2893,2894,2725,3142,1342],{},[573,2797,2799,2821],{"className":2798},[576],[573,2800,2802],{"className":2801},[580],[582,2803,2804],{"xmlns":584},[586,2805,2806,2818],{},[589,2807,2808],{},[610,2809,2810,2812],{},[592,2811,614],{},[610,2813,2814,2816],{},[592,2815,602],{},[797,2817,835],{},[618,2819,2820],{"encoding":620},"e^{x^2}",[573,2822,2824],{"className":2823,"ariaHidden":626},[625],[573,2825,2827,2831],{"className":2826},[630],[573,2828],{"className":2829,"style":2830},[634],"height:0.9869em;",[573,2832,2834,2837],{"className":2833},[639],[573,2835,614],{"className":2836},[639,640],[573,2838,2840],{"className":2839},[681],[573,2841,2843],{"className":2842},[685],[573,2844,2846],{"className":2845},[689],[573,2847,2849],{"className":2848,"style":2830},[693],[573,2850,2851,2854],{"style":696},[573,2852],{"className":2853,"style":701},[700],[573,2855,2857],{"className":2856},[705,706,707,708],[573,2858,2860],{"className":2859},[639,708],[573,2861,2863,2866],{"className":2862},[639,708],[573,2864,602],{"className":2865},[639,640,708],[573,2867,2869],{"className":2868},[681],[573,2870,2872],{"className":2871},[685],[573,2873,2875],{"className":2874},[689],[573,2876,2879],{"className":2877,"style":2878},[693],"height:0.8913em;",[573,2880,2882,2886],{"style":2881},"top:-2.931em;margin-right:0.0714em;",[573,2883],{"className":2884,"style":2885},[700],"height:2.5em;",[573,2887,2890],{"className":2888},[705,2889,1061,708],"reset-size3",[573,2891,835],{"className":2892},[639,708]," den Exponenten falsch behandeln: ",[573,2895,2897,2945],{"className":2896},[576],[573,2898,2900],{"className":2899},[580],[582,2901,2902],{"xmlns":584},[586,2903,2904,2942],{},[589,2905,2906,2908,2918,2924,2926,2928,2930,2932],{},[596,2907,599],{"stretchy":598},[610,2909,2910,2912],{},[592,2911,614],{},[610,2913,2914,2916],{},[592,2915,602],{},[797,2917,835],{},[610,2919,2920,2922],{},[596,2921,605],{"stretchy":598},[596,2923,1014],{"mathvariant":1012,"lspace":1013,"rspace":1013},[596,2925,608],{},[797,2927,835],{},[592,2929,602],{},[596,2931,1021],{},[610,2933,2934,2936],{},[592,2935,614],{},[610,2937,2938,2940],{},[592,2939,602],{},[797,2941,835],{},[618,2943,2944],{"encoding":620},"(e^{x^2})' = 2x \\cdot 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