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h}{h}",[568,933,935,1072,1097,1194,1219],{"className":934,"ariaHidden":598},[597],[568,936,938,942,1063,1066,1069],{"className":937},[602],[568,939],{"className":940,"style":941},[606],"height:2.113em;vertical-align:-0.686em;",[568,943,945,950,1060],{"className":944},[611],[568,946],{"className":947},[948,949],"mopen","nulldelimiter",[568,951,953],{"className":952},[846],[568,954,958,1051],{"className":955},[956,957],"vlist-t","vlist-t2",[568,959,962,1046],{"className":960},[961],"vlist-r",[568,963,967,981,992],{"className":964,"style":966},[965],"vlist","height:1.427em;",[568,968,970,975],{"style":969},"top:-2.314em;",[568,971],{"className":972,"style":974},[973],"pstrut","height:3em;",[568,976,978],{"className":977},[611],[568,979,866],{"className":980},[611,612],[568,982,984,987],{"style":983},"top:-3.23em;",[568,985],{"className":986,"style":974},[973],[568,988],{"className":989,"style":991},[990],"frac-line","border-bottom-width:0.04em;",[568,993,995,998],{"style":994},"top:-3.677em;",[568,996],{"className":997,"style":974},[973],[568,999,1001,1004,1007,1010,1014,1018,1021,1024,1028,1031,1034,1037,1040,1043],{"className":1000},[611],[568,1002,852],{"className":1003},[657],[568,1005,858],{"className":1006},[948],[568,1008,589],{"className":1009},[611,612],[568,1011],{"className":1012,"style":1013},[661],"margin-right:0.2222em;",[568,1015,863],{"className":1016},[1017],"mbin",[568,1019],{"className":1020,"style":1013},[661],[568,1022,866],{"className":1023},[611,612],[568,1025,869],{"className":1026},[1027],"mclose",[568,1029],{"className":1030,"style":1013},[661],[568,1032,761],{"className":1033},[1017],[568,1035],{"className":1036,"style":1013},[661],[568,1038,852],{"className":1039},[657],[568,1041],{"className":1042,"style":662},[661],[568,1044,589],{"className":1045},[611,612],[568,1047,1050],{"className":1048},[1049],"vlist-s","​",[568,1052,1054],{"className":1053},[961],[568,1055,1058],{"className":1056,"style":1057},[965],"height:0.686em;",[568,1059],{},[568,1061],{"className":1062},[1027,949],[568,1064],{"className":1065,"style":669},[661],[568,1067,637],{"className":1068},[673],[568,1070],{"className":1071,"style":669},[661],[568,1073,1075,1079,1082,1085,1088,1091,1094],{"className":1074},[602],[568,1076],{"className":1077,"style":1078},[606],"height:0.6679em;",[568,1080,852],{"className":1081},[657],[568,1083],{"className":1084,"style":662},[661],[568,1086,589],{"className":1087},[611,612],[568,1089],{"className":1090,"style":1013},[661],[568,1092,890],{"className":1093},[1017],[568,1095],{"className":1096,"style":1013},[661],[568,1098,1100,1104,1185,1188,1191],{"className":1099},[602],[568,1101],{"className":1102,"style":1103},[606],"height:2.0574em;vertical-align:-0.686em;",[568,1105,1107,1110,1182],{"className":1106},[611],[568,1108],{"className":1109},[948,949],[568,1111,1113],{"className":1112},[846],[568,1114,1116,1174],{"className":1115},[956,957],[568,1117,1119,1171],{"className":1118},[961],[568,1120,1123,1134,1142],{"className":1121,"style":1122},[965],"height:1.3714em;",[568,1124,1125,1128],{"style":969},[568,1126],{"className":1127,"style":974},[973],[568,1129,1131],{"className":1130},[611],[568,1132,866],{"className":1133},[611,612],[568,1135,1136,1139],{"style":983},[568,1137],{"className":1138,"style":974},[973],[568,1140],{"className":1141,"style":991},[990],[568,1143,1144,1147],{"style":994},[568,1145],{"className":1146,"style":974},[973],[568,1148,1150,1153,1156,1159,1162,1165,1168],{"className":1149},[611],[568,1151,628],{"className":1152},[657],[568,1154],{"className":1155,"style":662},[661],[568,1157,866],{"className":1158},[611,612],[568,1160],{"className":1161,"style":1013},[661],[568,1163,761],{"className":1164},[1017],[568,1166],{"className":1167,"style":1013},[661],[568,1169,731],{"className":1170},[611],[568,1172,1050],{"className":1173},[1049],[568,1175,1177],{"className":1176},[961],[568,1178,1180],{"className":1179,"style":1057},[965],[568,1181],{},[568,1183],{"className":1184},[1027,949],[568,1186],{"className":1187,"style":1013},[661],[568,1189,863],{"className":1190},[1017],[568,1192],{"className":1193,"style":1013},[661],[568,1195,1197,1201,1204,1207,1210,1213,1216],{"className":1196},[602],[568,1198],{"className":1199,"style":1200},[606],"height:0.4445em;",[568,1202,628],{"className":1203},[657],[568,1205],{"className":1206,"style":662},[661],[568,1208,589],{"className":1209},[611,612],[568,1211],{"className":1212,"style":1013},[661],[568,1214,890],{"className":1215},[1017],[568,1217],{"className":1218,"style":1013},[661],[568,1220,1222,1225],{"className":1221},[602],[568,1223],{"className":1224,"style":1103},[606],[568,1226,1228,1231,1290],{"className":1227},[611],[568,1229],{"className":1230},[948,949],[568,1232,1234],{"className":1233},[846],[568,1235,1237,1282],{"className":1236},[956,957],[568,1238,1240,1279],{"className":1239},[961],[568,1241,1243,1254,1262],{"className":1242,"style":1122},[965],[568,1244,1245,1248],{"style":969},[568,1246],{"className":1247,"style":974},[973],[568,1249,1251],{"className":1250},[611],[568,1252,866],{"className":1253},[611,612],[568,1255,1256,1259],{"style":983},[568,1257],{"className":1258,"style":974},[973],[568,1260],{"className":1261,"style":991},[990],[568,1263,1264,1267],{"style":994},[568,1265],{"className":1266,"style":974},[973],[568,1268,1270,1273,1276],{"className":1269},[611],[568,1271,852],{"className":1272},[657],[568,1274],{"className":1275,"style":662},[661],[568,1277,866],{"className":1278},[611,612],[568,1280,1050],{"className":1281},[1049],[568,1283,1285],{"className":1284},[961],[568,1286,1288],{"className":1287,"style":1057},[965],[568,1289],{},[568,1291],{"className":1292},[1027,949],[564,1294,1295,1296,1349,1350,1514,1515,1658,1659,783],{},"Für ",[568,1297,1299,1318],{"className":1298},[571],[568,1300,1302],{"className":1301},[575],[577,1303,1304],{"xmlns":579},[581,1305,1306,1315],{},[584,1307,1308,1310,1313],{},[587,1309,866],{},[630,1311,1312],{},"→",[639,1314,641],{},[591,1316,1317],{"encoding":593},"h \\to 0",[568,1319,1321,1340],{"className":1320,"ariaHidden":598},[597],[568,1322,1324,1328,1331,1334,1337],{"className":1323},[602],[568,1325],{"className":1326,"style":1327},[606],"height:0.6944em;",[568,1329,866],{"className":1330},[611,612],[568,1332],{"className":1333,"style":669},[661],[568,1335,1312],{"className":1336},[673],[568,1338],{"className":1339,"style":669},[661],[568,1341,1343,1346],{"className":1342},[602],[568,1344],{"className":1345,"style":683},[606],[568,1347,641],{"className":1348},[611]," gilt ",[568,1351,1353,1385],{"className":1352},[571],[568,1354,1356],{"className":1355},[575],[577,1357,1358],{"xmlns":579},[581,1359,1360,1382],{},[584,1361,1362,1378,1380],{},[846,1363,1364,1376],{},[584,1365,1366,1368,1370,1372,1374],{},[587,1367,628],{},[630,1369,632],{},[587,1371,866],{},[630,1373,761],{},[639,1375,731],{},[587,1377,866],{},[630,1379,1312],{},[639,1381,641],{},[591,1383,1384],{"encoding":593},"\\frac{\\cos h - 1}{h} \\to 0",[568,1386,1388,1505],{"className":1387,"ariaHidden":598},[597],[568,1389,1391,1395,1496,1499,1502],{"className":1390},[602],[568,1392],{"className":1393,"style":1394},[606],"height:1.2251em;vertical-align:-0.345em;",[568,1396,1398,1401,1493],{"className":1397},[611],[568,1399],{"className":1400},[948,949],[568,1402,1404],{"className":1403},[846],[568,1405,1407,1484],{"className":1406},[956,957],[568,1408,1410,1481],{"className":1409},[961],[568,1411,1414,1433,1441],{"className":1412,"style":1413},[965],"height:0.8801em;",[568,1415,1417,1420],{"style":1416},"top:-2.655em;",[568,1418],{"className":1419,"style":974},[973],[568,1421,1427],{"className":1422},[1423,1424,1425,1426],"sizing","reset-size6","size3","mtight",[568,1428,1430],{"className":1429},[611,1426],[568,1431,866],{"className":1432},[611,612,1426],[568,1434,1435,1438],{"style":983},[568,1436],{"className":1437,"style":974},[973],[568,1439],{"className":1440,"style":991},[990],[568,1442,1444,1447],{"style":1443},"top:-3.394em;",[568,1445],{"className":1446,"style":974},[973],[568,1448,1450],{"className":1449},[1423,1424,1425,1426],[568,1451,1453,1468,1472,1475,1478],{"className":1452},[611,1426],[568,1454,1456,1460,1464],{"className":1455},[657,1426],[568,1457,1459],{"className":1458},[1426],"c",[568,1461,1463],{"className":1462},[1426],"o",[568,1465,1467],{"className":1466},[1426],"s",[568,1469],{"className":1470,"style":1471},[661,1426],"margin-right:0.1952em;",[568,1473,866],{"className":1474},[611,612,1426],[568,1476,761],{"className":1477},[1017,1426],[568,1479,731],{"className":1480},[611,1426],[568,1482,1050],{"className":1483},[1049],[568,1485,1487],{"className":1486},[961],[568,1488,1491],{"className":1489,"style":1490},[965],"height:0.345em;",[568,1492],{},[568,1494],{"className":1495},[1027,949],[568,1497],{"className":1498,"style":669},[661],[568,1500,1312],{"className":1501},[673],[568,1503],{"className":1504,"style":669},[661],[568,1506,1508,1511],{"className":1507},[602],[568,1509],{"className":1510,"style":683},[606],[568,1512,641],{"className":1513},[611]," und ",[568,1516,1518,1546],{"className":1517},[571],[568,1519,1521],{"className":1520},[575],[577,1522,1523],{"xmlns":579},[581,1524,1525,1543],{},[584,1526,1527,1539,1541],{},[846,1528,1529,1537],{},[584,1530,1531,1533,1535],{},[587,1532,852],{},[630,1534,632],{},[587,1536,866],{},[587,1538,866],{},[630,1540,1312],{},[639,1542,731],{},[591,1544,1545],{"encoding":593},"\\frac{\\sin h}{h} \\to 1",[568,1547,1549,1649],{"className":1548,"ariaHidden":598},[597],[568,1550,1552,1555,1640,1643,1646],{"className":1551},[602],[568,1553],{"className":1554,"style":1394},[606],[568,1556,1558,1561,1637],{"className":1557},[611],[568,1559],{"className":1560},[948,949],[568,1562,1564],{"className":1563},[846],[568,1565,1567,1629],{"className":1566},[956,957],[568,1568,1570,1626],{"className":1569},[961],[568,1571,1573,1587,1595],{"className":1572,"style":1413},[965],[568,1574,1575,1578],{"style":1416},[568,1576],{"className":1577,"style":974},[973],[568,1579,1581],{"className":1580},[1423,1424,1425,1426],[568,1582,1584],{"className":1583},[611,1426],[568,1585,866],{"className":1586},[611,612,1426],[568,1588,1589,1592],{"style":983},[568,1590],{"className":1591,"style":974},[973],[568,1593],{"className":1594,"style":991},[990],[568,1596,1597,1600],{"style":1443},[568,1598],{"className":1599,"style":974},[973],[568,1601,1603],{"className":1602},[1423,1424,1425,1426],[568,1604,1606,1620,1623],{"className":1605},[611,1426],[568,1607,1609,1612,1616],{"className":1608},[657,1426],[568,1610,1467],{"className":1611},[1426],[568,1613,1615],{"className":1614},[1426],"i",[568,1617,1619],{"className":1618},[1426],"n",[568,1621],{"className":1622,"style":1471},[661,1426],[568,1624,866],{"className":1625},[611,612,1426],[568,1627,1050],{"className":1628},[1049],[568,1630,1632],{"className":1631},[961],[568,1633,1635],{"className":1634,"style":1490},[965],[568,1636],{},[568,1638],{"className":1639},[1027,949],[568,1641],{"className":1642,"style":669},[661],[568,1644,1312],{"className":1645},[673],[568,1647],{"className":1648,"style":669},[661],[568,1650,1652,1655],{"className":1651},[602],[568,1653],{"className":1654,"style":683},[606],[568,1656,731],{"className":1657},[611],". Übrig bleibt ",[568,1660,1662,1680],{"className":1661},[571],[568,1663,1665],{"className":1664},[575],[577,1666,1667],{"xmlns":579},[581,1668,1669,1677],{},[584,1670,1671,1673,1675],{},[587,1672,628],{},[630,1674,632],{},[587,1676,589],{},[591,1678,1679],{"encoding":593},"\\cos x",[568,1681,1683],{"className":1682,"ariaHidden":598},[597],[568,1684,1686,1689,1692,1695],{"className":1685},[602],[568,1687],{"className":1688,"style":607},[606],[568,1690,628],{"className":1691},[657],[568,1693],{"className":1694,"style":662},[661],[568,1696,589],{"className":1697},[611,612],[559,1699,1701],{"id":1700},"beispiele","Beispiele",[564,1703,1704,1705,1766,1767,783],{},"Im Ursprung hat die Sinuskurve die Steigung ",[568,1706,1708,1730],{"className":1707},[571],[568,1709,1711],{"className":1710},[575],[577,1712,1713],{"xmlns":579},[581,1714,1715,1727],{},[584,1716,1717,1719,1721,1723,1725],{},[587,1718,628],{},[630,1720,632],{},[639,1722,641],{},[630,1724,637],{},[639,1726,731],{},[591,1728,1729],{"encoding":593},"\\cos 0 = 1",[568,1731,1733,1757],{"className":1732,"ariaHidden":598},[597],[568,1734,1736,1739,1742,1745,1748,1751,1754],{"className":1735},[602],[568,1737],{"className":1738,"style":683},[606],[568,1740,628],{"className":1741},[657],[568,1743],{"className":1744,"style":662},[661],[568,1746,641],{"className":1747},[611],[568,1749],{"className":1750,"style":669},[661],[568,1752,637],{"className":1753},[673],[568,1755],{"className":1756,"style":669},[661],[568,1758,1760,1763],{"className":1759},[602],[568,1761],{"className":1762,"style":683},[606],[568,1764,731],{"className":1765},[611],". Sie verläuft dort also wie die Gerade ",[568,1768,1770,1789],{"className":1769},[571],[568,1771,1773],{"className":1772},[575],[577,1774,1775],{"xmlns":579},[581,1776,1777,1786],{},[584,1778,1779,1782,1784],{},[587,1780,1781],{},"y",[630,1783,637],{},[587,1785,589],{},[591,1787,1788],{"encoding":593},"y = x",[568,1790,1792,1812],{"className":1791,"ariaHidden":598},[597],[568,1793,1795,1799,1803,1806,1809],{"className":1794},[602],[568,1796],{"className":1797,"style":1798},[606],"height:0.625em;vertical-align:-0.1944em;",[568,1800,1781],{"className":1801,"style":1802},[611,612],"margin-right:0.0359em;",[568,1804],{"className":1805,"style":669},[661],[568,1807,637],{"className":1808},[673],[568,1810],{"className":1811,"style":669},[661],[568,1813,1815,1818],{"className":1814},[602],[568,1816],{"className":1817,"style":607},[606],[568,1819,589],{"className":1820},[611,612],[564,1822,1823],{},"Mit Faktor- und Kettenregel:",[568,1825,1827],{"className":1826},[831],[568,1828,1830,1933],{"className":1829},[571],[568,1831,1833],{"className":1832},[575],[577,1834,1835],{"xmlns":579,"display":840},[581,1836,1837,1930],{},[584,1838,1839,1842,1844,1846,1848,1850,1853,1855,1857,1859,1862,1864,1866,1870,1873,1875,1885,1887,1889,1891,1893,1895,1897,1899,1901,1903,1905,1907,1909,1911,1913,1915,1918,1920,1922,1924,1926,1928],{},[587,1840,1841],{},"f",[630,1843,858],{"stretchy":857},[587,1845,589],{},[630,1847,869],{"stretchy":857},[630,1849,637],{},[639,1851,1852],{},"3",[587,1854,852],{},[630,1856,632],{},[630,1858,858],{"stretchy":857},[639,1860,1861],{},"2",[587,1863,589],{},[630,1865,869],{"stretchy":857},[1867,1868,1869],"mtext",{},"  ",[630,1871,1872],{},"⇒",[1867,1874,1869],{},[1876,1877,1878,1880],"msup",{},[587,1879,1841],{},[630,1881,1884],{"mathvariant":1882,"lspace":1883,"rspace":1883},"normal","0em","′",[630,1886,858],{"stretchy":857},[587,1888,589],{},[630,1890,869],{"stretchy":857},[630,1892,637],{},[639,1894,1852],{},[630,1896,890],{},[587,1898,628],{},[630,1900,632],{},[630,1902,858],{"stretchy":857},[639,1904,1861],{},[587,1906,589],{},[630,1908,869],{"stretchy":857},[630,1910,890],{},[639,1912,1861],{},[630,1914,637],{},[639,1916,1917],{},"6",[587,1919,628],{},[630,1921,632],{},[630,1923,858],{"stretchy":857},[639,1925,1861],{},[587,1927,589],{},[630,1929,869],{"stretchy":857},[591,1931,1932],{"encoding":593},"f(x) = 3\\sin(2x) \\;\\Rightarrow\\; f'(x) = 3 \\cdot \\cos(2x) \\cdot 2 = 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