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und bei Bedarf ",[583,1153,1155,1179],{"className":1154},[586],[583,1156,1158],{"className":1157},[590],[592,1159,1160],{"xmlns":594},[596,1161,1162,1176],{},[599,1163,1164],{},[1027,1165,1166,1168],{},[605,1167,610],{},[599,1169,1170,1172,1174],{},[712,1171,1035],{"mathvariant":1033},[712,1173,1035],{"mathvariant":1033},[712,1175,1035],{"mathvariant":1033},[612,1177,1178],{"encoding":614},"f'''",[583,1180,1182],{"className":1181,"ariaHidden":620},[619],[583,1183,1185,1188],{"className":1184},[624],[583,1186],{"className":1187,"style":1048},[628],[583,1189,1191,1194],{"className":1190},[633],[583,1192,610],{"className":1193,"style":675},[633,637],[583,1195,1197],{"className":1196},[642],[583,1198,1200],{"className":1199},[646],[583,1201,1203],{"className":1202},[651],[583,1204,1206],{"className":1205,"style":1067},[655],[583,1207,1208,1211],{"style":1070},[583,1209],{"className":1210,"style":664},[663],[583,1212,1214],{"className":1213},[668,669,670,671],[583,1215,1217],{"className":1216},[633,671],[583,1218,1220],{"className":1219},[633,671],"′′′"," bilden.",[576,1223,1224,1227,1228,1328,1329,1394,1395,1456,1457,1486],{},[569,1225,1226],{},"Extrempunkte",": ",[583,1229,1231,1259],{"className":1230},[586],[583,1232,1234],{"className":1233},[590],[592,1235,1236],{"xmlns":594},[596,1237,1238,1256],{},[599,1239,1240,1246,1248,1250,1252,1254],{},[1027,1241,1242,1244],{},[605,1243,610],{},[712,1245,1035],{"mathvariant":1033,"lspace":1034,"rspace":1034},[712,1247,715],{"stretchy":714},[605,1249,721],{},[712,1251,724],{"stretchy":714},[712,1253,727],{},[912,1255,914],{},[612,1257,1258],{"encoding":614},"f'(x) = 0",[583,1260,1262,1319],{"className":1261,"ariaHidden":620},[619],[583,1263,1265,1269,1301,1304,1307,1310,1313,1316],{"className":1264},[624],[583,1266],{"className":1267,"style":1268},[628],"height:1.0019em;vertical-align:-0.25em;",[583,1270,1272,1275],{"className":1271},[633],[583,1273,610],{"className":1274,"style":675},[633,637],[583,1276,1278],{"className":1277},[642],[583,1279,1281],{"className":1280},[646],[583,1282,1284],{"className":1283},[651],[583,1285,1287],{"className":1286,"style":1067},[655],[583,1288,1289,1292],{"style":1070},[583,1290],{"className":1291,"style":664},[663],[583,1293,1295],{"className":1294},[668,669,670,671],[583,1296,1298],{"className":1297},[633,671],[583,1299,1035],{"className":1300},[633,671],[583,1302,715],{"className":1303},[755],[583,1305,721],{"className":1306},[633,637],[583,1308,724],{"className":1309},[765],[583,1311],{"className":1312,"style":770},[769],[583,1314,727],{"className":1315},[774],[583,1317],{"className":1318,"style":770},[769],[583,1320,1322,1325],{"className":1321},[624],[583,1323],{"className":1324,"style":1005},[628],[583,1326,914],{"className":1327},[633]," lösen, mit ",[583,1330,1332,1353],{"className":1331},[586],[583,1333,1335],{"className":1334},[590],[592,1336,1337],{"xmlns":594},[596,1338,1339,1351],{},[599,1340,1341],{},[1027,1342,1343,1345],{},[605,1344,610],{},[599,1346,1347,1349],{},[712,1348,1035],{"mathvariant":1033},[712,1350,1035],{"mathvariant":1033},[612,1352,1108],{"encoding":614},[583,1354,1356],{"className":1355,"ariaHidden":620},[619],[583,1357,1359,1362],{"className":1358},[624],[583,1360],{"className":1361,"style":1048},[628],[583,1363,1365,1368],{"className":1364},[633],[583,1366,610],{"className":1367,"style":675},[633,637],[583,1369,1371],{"className":1370},[642],[583,1372,1374],{"className":1373},[646],[583,1375,1377],{"className":1376},[651],[583,1378,1380],{"className":1379,"style":1067},[655],[583,1381,1382,1385],{"style":1070},[583,1383],{"className":1384,"style":664},[663],[583,1386,1388],{"className":1387},[668,669,670,671],[583,1389,1391],{"className":1390},[633,671],[583,1392,1150],{"className":1393},[633,671]," oder einem Vorzeichenwechsel von ",[583,1396,1398,1415],{"className":1397},[586],[583,1399,1401],{"className":1400},[590],[592,1402,1403],{"xmlns":594},[596,1404,1405,1413],{},[599,1406,1407],{},[1027,1408,1409,1411],{},[605,1410,610],{},[712,1412,1035],{"mathvariant":1033,"lspace":1034,"rspace":1034},[612,1414,1038],{"encoding":614},[583,1416,1418],{"className":1417,"ariaHidden":620},[619],[583,1419,1421,1424],{"className":1420},[624],[583,1422],{"className":1423,"style":1048},[628],[583,1425,1427,1430],{"className":1426},[633],[583,1428,610],{"className":1429,"style":675},[633,637],[583,1431,1433],{"className":1432},[642],[583,1434,1436],{"className":1435},[646],[583,1437,1439],{"className":1438},[651],[583,1440,1442],{"className":1441,"style":1067},[655],[583,1443,1444,1447],{"style":1070},[583,1445],{"className":1446,"style":664},[663],[583,1448,1450],{"className":1449},[668,669,670,671],[583,1451,1453],{"className":1452},[633,671],[583,1454,1035],{"className":1455},[633,671]," prüfen, y-Werte mit ",[583,1458,1460,1473],{"className":1459},[586],[583,1461,1463],{"className":1462},[590],[592,1464,1465],{"xmlns":594},[596,1466,1467,1471],{},[599,1468,1469],{},[605,1470,610],{},[612,1472,610],{"encoding":614},[583,1474,1476],{"className":1475,"ariaHidden":620},[619],[583,1477,1479,1483],{"className":1478},[624],[583,1480],{"className":1481,"style":1482},[628],"height:0.8889em;vertical-align:-0.1944em;",[583,1484,610],{"className":1485,"style":675},[633,637]," berechnen.",[576,1488,1489,1227,1492,1328,1595,1394,1662,1727],{},[569,1490,1491],{},"Wendepunkte",[583,1493,1495,1527],{"className":1494},[586],[583,1496,1498],{"className":1497},[590],[592,1499,1500],{"xmlns":594},[596,1501,1502,1524],{},[599,1503,1504,1514,1516,1518,1520,1522],{},[1027,1505,1506,1508],{},[605,1507,610],{},[599,1509,1510,1512],{},[712,1511,1035],{"mathvariant":1033},[712,1513,1035],{"mathvariant":1033},[712,1515,715],{"stretchy":714},[605,1517,721],{},[712,1519,724],{"stretchy":714},[712,1521,727],{},[912,1523,914],{},[612,1525,1526],{"encoding":614},"f''(x) = 0",[583,1528,1530,1586],{"className":1529,"ariaHidden":620},[619],[583,1531,1533,1536,1568,1571,1574,1577,1580,1583],{"className":1532},[624],[583,1534],{"className":1535,"style":1268},[628],[583,1537,1539,1542],{"className":1538},[633],[583,1540,610],{"className":1541,"style":675},[633,637],[583,1543,1545],{"className":1544},[642],[583,1546,1548],{"className":1547},[646],[583,1549,1551],{"className":1550},[651],[583,1552,1554],{"className":1553,"style":1067},[655],[583,1555,1556,1559],{"style":1070},[583,1557],{"className":1558,"style":664},[663],[583,1560,1562],{"className":1561},[668,669,670,671],[583,1563,1565],{"className":1564},[633,671],[583,1566,1150],{"className":1567},[633,671],[583,1569,715],{"className":1570},[755],[583,1572,721],{"className":1573},[633,637],[583,1575,724],{"className":1576},[765],[583,1578],{"className":1579,"style":770},[769],[583,1581,727],{"className":1582},[774],[583,1584],{"className":1585,"style":770},[769],[583,1587,1589,1592],{"className":1588},[624],[583,1590],{"className":1591,"style":1005},[628],[583,1593,914],{"className":1594},[633],[583,1596,1598,1621],{"className":1597},[586],[583,1599,1601],{"className":1600},[590],[592,1602,1603],{"xmlns":594},[596,1604,1605,1619],{},[599,1606,1607],{},[1027,1608,1609,1611],{},[605,1610,610],{},[599,1612,1613,1615,1617],{},[712,1614,1035],{"mathvariant":1033},[712,1616,1035],{"mathvariant":1033},[712,1618,1035],{"mathvariant":1033},[612,1620,1178],{"encoding":614},[583,1622,1624],{"className":1623,"ariaHidden":620},[619],[583,1625,1627,1630],{"className":1626},[624],[583,1628],{"className":1629,"style":1048},[628],[583,1631,1633,1636],{"className":1632},[633],[583,1634,610],{"className":1635,"style":675},[633,637],[583,1637,1639],{"className":1638},[642],[583,1640,1642],{"className":1641},[646],[583,1643,1645],{"className":1644},[651],[583,1646,1648],{"className":1647,"style":1067},[655],[583,1649,1650,1653],{"style":1070},[583,1651],{"className":1652,"style":664},[663],[583,1654,1656],{"className":1655},[668,669,670,671],[583,1657,1659],{"className":1658},[633,671],[583,1660,1220],{"className":1661},[633,671],[583,1663,1665,1686],{"className":1664},[586],[583,1666,1668],{"className":1667},[590],[592,1669,1670],{"xmlns":594},[596,1671,1672,1684],{},[599,1673,1674],{},[1027,1675,1676,1678],{},[605,1677,610],{},[599,1679,1680,1682],{},[712,1681,1035],{"mathvariant":1033},[712,1683,1035],{"mathvariant":1033},[612,1685,1108],{"encoding":614},[583,1687,1689],{"className":1688,"ariaHidden":620},[619],[583,1690,1692,1695],{"className":1691},[624],[583,1693],{"className":1694,"style":1048},[628],[583,1696,1698,1701],{"className":1697},[633],[583,1699,610],{"className":1700,"style":675},[633,637],[583,1702,1704],{"className":1703},[642],[583,1705,1707],{"className":1706},[646],[583,1708,1710],{"className":1709},[651],[583,1711,1713],{"className":1712,"style":1067},[655],[583,1714,1715,1718],{"style":1070},[583,1716],{"className":1717,"style":664},[663],[583,1719,1721],{"className":1720},[668,669,670,671],[583,1722,1724],{"className":1723},[633,671],[583,1725,1150],{"className":1726},[633,671]," prüfen.",[576,1729,1730,1733,1734,1795],{},[569,1731,1732],{},"Verhalten"," für ",[583,1735,1737,1760],{"className":1736},[586],[583,1738,1740],{"className":1739},[590],[592,1741,1742],{"xmlns":594},[596,1743,1744,1757],{},[599,1745,1746,1748,1751,1754],{},[605,1747,721],{},[712,1749,1750],{},"→",[712,1752,1753],{},"±",[605,1755,1756],{"mathvariant":1033},"∞",[612,1758,1759],{"encoding":614},"x \\to \\pm\\infty",[583,1761,1763,1782],{"className":1762,"ariaHidden":620},[619],[583,1764,1766,1770,1773,1776,1779],{"className":1765},[624],[583,1767],{"className":1768,"style":1769},[628],"height:0.4306em;",[583,1771,721],{"className":1772},[633,637],[583,1774],{"className":1775,"style":770},[769],[583,1777,1750],{"className":1778},[774],[583,1780],{"className":1781,"style":770},[769],[583,1783,1785,1789,1792],{"className":1784},[624],[583,1786],{"className":1787,"style":1788},[628],"height:0.6667em;vertical-align:-0.0833em;",[583,1790,1753],{"className":1791},[633],[583,1793,1756],{"className":1794},[633]," und an Definitionslücken.",[576,1797,1798,1801],{},[569,1799,1800],{},"Monotonie und Krümmung"," in Intervallen angeben, dann den Graphen skizzieren.",[565,1803,1804,1805,1833],{},"Die y-Werte immer mit der Ausgangsfunktion ",[583,1806,1808,1821],{"className":1807},[586],[583,1809,1811],{"className":1810},[590],[592,1812,1813],{"xmlns":594},[596,1814,1815,1819],{},[599,1816,1817],{},[605,1818,610],{},[612,1820,610],{"encoding":614},[583,1822,1824],{"className":1823,"ariaHidden":620},[619],[583,1825,1827,1830],{"className":1826},[624],[583,1828],{"className":1829,"style":1482},[628],[583,1831,610],{"className":1832,"style":675},[633,637]," berechnen, nicht mit einer Ableitung.",[560,1835,1837],{"id":1836},"beispiele","Beispiele",[565,1839,1840,2029,2030,888],{},[583,1841,1843,1892],{"className":1842},[586],[583,1844,1846],{"className":1845},[590],[592,1847,1848],{"xmlns":594},[596,1849,1850,1889],{},[599,1851,1852,1854,1856,1858,1860,1862,1869,1871,1874,1881,1884,1887],{},[605,1853,610],{},[712,1855,715],{"stretchy":714},[605,1857,721],{},[712,1859,724],{"stretchy":714},[712,1861,727],{},[1027,1863,1864,1866],{},[605,1865,721],{},[912,1867,1868],{},"3",[712,1870,718],{},[912,1872,1873],{},"6",[1027,1875,1876,1878],{},[605,1877,721],{},[912,1879,1880],{},"2",[712,1882,1883],{},"+",[912,1885,1886],{},"9",[605,1888,721],{},[612,1890,1891],{"encoding":614},"f(x) = x^3 - 6x^2 + 9x",[583,1893,1895,1922,1970,2017],{"className":1894,"ariaHidden":620},[619],[583,1896,1898,1901,1904,1907,1910,1913,1916,1919],{"className":1897},[624],[583,1899],{"className":1900,"style":748},[628],[583,1902,610],{"className":1903,"style":675},[633,637],[583,1905,715],{"className":1906},[755],[583,1908,721],{"className":1909},[633,637],[583,1911,724],{"className":1912},[765],[583,1914],{"className":1915,"style":770},[769],[583,1917,727],{"className":1918},[774],[583,1920],{"className":1921,"style":770},[769],[583,1923,1925,1929,1959,1963,1967],{"className":1924},[624],[583,1926],{"className":1927,"style":1928},[628],"height:0.8974em;vertical-align:-0.0833em;",[583,1930,1932,1935],{"className":1931},[633],[583,1933,721],{"className":1934},[633,637],[583,1936,1938],{"className":1937},[642],[583,1939,1941],{"className":1940},[646],[583,1942,1944],{"className":1943},[651],[583,1945,1948],{"className":1946,"style":1947},[655],"height:0.8141em;",[583,1949,1950,1953],{"style":1070},[583,1951],{"className":1952,"style":664},[663],[583,1954,1956],{"className":1955},[668,669,670,671],[583,1957,1868],{"className":1958},[633,671],[583,1960],{"className":1961,"style":1962},[769],"margin-right:0.2222em;",[583,1964,718],{"className":1965},[1966],"mbin",[583,1968],{"className":1969,"style":1962},[769],[583,1971,1973,1976,1979,2008,2011,2014],{"className":1972},[624],[583,1974],{"className":1975,"style":1928},[628],[583,1977,1873],{"className":1978},[633],[583,1980,1982,1985],{"className":1981},[633],[583,1983,721],{"className":1984},[633,637],[583,1986,1988],{"className":1987},[642],[583,1989,1991],{"className":1990},[646],[583,1992,1994],{"className":1993},[651],[583,1995,1997],{"className":1996,"style":1947},[655],[583,1998,1999,2002],{"style":1070},[583,2000],{"className":2001,"style":664},[663],[583,2003,2005],{"className":2004},[668,669,670,671],[583,2006,1880],{"className":2007},[633,671],[583,2009],{"className":2010,"style":1962},[769],[583,2012,1883],{"className":2013},[1966],[583,2015],{"className":2016,"style":1962},[769],[583,2018,2020,2023,2026],{"className":2019},[624],[583,2021],{"className":2022,"style":1005},[628],[583,2024,1886],{"className":2025},[633],[583,2027,721],{"className":2028},[633,637]," mit ",[583,2031,2033,2057],{"className":2032},[586],[583,2034,2036],{"className":2035},[590],[592,2037,2038],{"xmlns":594},[596,2039,2040,2054],{},[599,2041,2042,2048,2050],{},[602,2043,2044,2046],{},[605,2045,607],{},[605,2047,610],{},[712,2049,727],{},[605,2051,2053],{"mathvariant":2052},"double-struck","R",[612,2055,2056],{"encoding":614},"D_f = \\mathbb{R}",[583,2058,2060,2115],{"className":2059,"ariaHidden":620},[619],[583,2061,2063,2066,2106,2109,2112],{"className":2062},[624],[583,2064],{"className":2065,"style":629},[628],[583,2067,2069,2072],{"className":2068},[633],[583,2070,607],{"className":2071,"style":638},[633,637],[583,2073,2075],{"className":2074},[642],[583,2076,2078,2098],{"className":2077},[646,647],[583,2079,2081,2095],{"className":2080},[651],[583,2082,2084],{"className":2083,"style":656},[655],[583,2085,2086,2089],{"style":659},[583,2087],{"className":2088,"style":664},[663],[583,2090,2092],{"className":2091},[668,669,670,671],[583,2093,610],{"className":2094,"style":675},[633,637,671],[583,2096,680],{"className":2097},[679],[583,2099,2101],{"className":2100},[651],[583,2102,2104],{"className":2103,"style":687},[655],[583,2105],{},[583,2107],{"className":2108,"style":770},[769],[583,2110,727],{"className":2111},[774],[583,2113],{"className":2114,"style":770},[769],[583,2116,2118,2122],{"className":2117},[624],[583,2119],{"className":2120,"style":2121},[628],"height:0.6889em;",[583,2123,2053],{"className":2124},[633,2125],"mathbb",[565,2127,2128,2131],{},[569,2129,2130],{},"Symmetrie:"," Es kommen gerade und ungerade Exponenten vor, also keine der beiden Standardsymmetrien.",[565,2133,2134,581,2137,2293,2294,2345,2346,2397,2398,888],{},[569,2135,2136],{},"Nullstellen:",[583,2138,2140,2182],{"className":2139},[586],[583,2141,2143],{"className":2142},[590],[592,2144,2145],{"xmlns":594},[596,2146,2147,2179],{},[599,2148,2149,2151,2153,2155,2157,2159,2161,2163,2165,2167,2169,2175,2177],{},[605,2150,610],{},[712,2152,715],{"stretchy":714},[605,2154,721],{},[712,2156,724],{"stretchy":714},[712,2158,727],{},[605,2160,721],{},[712,2162,715],{"stretchy":714},[605,2164,721],{},[712,2166,718],{},[912,2168,1868],{},[1027,2170,2171,2173],{},[712,2172,724],{"stretchy":714},[912,2174,1880],{},[712,2176,727],{},[912,2178,914],{},[612,2180,2181],{"encoding":614},"f(x) = x(x - 3)^2 = 0",[583,2183,2185,2212,2236,2284],{"className":2184,"ariaHidden":620},[619],[583,2186,2188,2191,2194,2197,2200,2203,2206,2209],{"className":2187},[624],[583,2189],{"className":2190,"style":748},[628],[583,2192,610],{"className":2193,"style":675},[633,637],[583,2195,715],{"className":2196},[755],[583,2198,721],{"className":2199},[633,637],[583,2201,724],{"className":2202},[765],[583,2204],{"className":2205,"style":770},[769],[583,2207,727],{"className":2208},[774],[583,2210],{"className":2211,"style":770},[769],[583,2213,2215,2218,2221,2224,2227,2230,2233],{"className":2214},[624],[583,2216],{"className":2217,"style":748},[628],[583,2219,721],{"className":2220},[633,637],[583,2222,715],{"className":2223},[755],[583,2225,721],{"className":2226},[633,637],[583,2228],{"className":2229,"style":1962},[769],[583,2231,718],{"className":2232},[1966],[583,2234],{"className":2235,"style":1962},[769],[583,2237,2239,2243,2246,2275,2278,2281],{"className":2238},[624],[583,2240],{"className":2241,"style":2242},[628],"height:1.0641em;vertical-align:-0.25em;",[583,2244,1868],{"className":2245},[633],[583,2247,2249,2252],{"className":2248},[765],[583,2250,724],{"className":2251},[765],[583,2253,2255],{"className":2254},[642],[583,2256,2258],{"className":2257},[646],[583,2259,2261],{"className":2260},[651],[583,2262,2264],{"className":2263,"style":1947},[655],[583,2265,2266,2269],{"style":1070},[583,2267],{"className":2268,"style":664},[663],[583,2270,2272],{"className":2271},[668,669,670,671],[583,2273,1880],{"className":2274},[633,671],[583,2276],{"className":2277,"style":770},[769],[583,2279,727],{"className":2280},[774],[583,2282],{"className":2283,"style":770},[769],[583,2285,2287,2290],{"className":2286},[624],[583,2288],{"className":2289,"style":1005},[628],[583,2291,914],{"className":2292},[633]," ergibt ",[583,2295,2297,2315],{"className":2296},[586],[583,2298,2300],{"className":2299},[590],[592,2301,2302],{"xmlns":594},[596,2303,2304,2312],{},[599,2305,2306,2308,2310],{},[605,2307,721],{},[712,2309,727],{},[912,2311,914],{},[612,2313,2314],{"encoding":614},"x = 0",[583,2316,2318,2336],{"className":2317,"ariaHidden":620},[619],[583,2319,2321,2324,2327,2330,2333],{"className":2320},[624],[583,2322],{"className":2323,"style":1769},[628],[583,2325,721],{"className":2326},[633,637],[583,2328],{"className":2329,"style":770},[769],[583,2331,727],{"className":2332},[774],[583,2334],{"className":2335,"style":770},[769],[583,2337,2339,2342],{"className":2338},[624],[583,2340],{"className":2341,"style":1005},[628],[583,2343,914],{"className":2344},[633]," und die doppelte Nullstelle ",[583,2347,2349,2367],{"className":2348},[586],[583,2350,2352],{"className":2351},[590],[592,2353,2354],{"xmlns":594},[596,2355,2356,2364],{},[599,2357,2358,2360,2362],{},[605,2359,721],{},[712,2361,727],{},[912,2363,1868],{},[612,2365,2366],{"encoding":614},"x = 3",[583,2368,2370,2388],{"className":2369,"ariaHidden":620},[619],[583,2371,2373,2376,2379,2382,2385],{"className":2372},[624],[583,2374],{"className":2375,"style":1769},[628],[583,2377,721],{"className":2378},[633,637],[583,2380],{"className":2381,"style":770},[769],[583,2383,727],{"className":2384},[774],[583,2386],{"className":2387,"style":770},[769],[583,2389,2391,2394],{"className":2390},[624],[583,2392],{"className":2393,"style":1005},[628],[583,2395,1868],{"className":2396},[633],". Der y-Achsenabschnitt ist ",[583,2399,2401,2425],{"className":2400},[586],[583,2402,2404],{"className":2403},[590],[592,2405,2406],{"xmlns":594},[596,2407,2408,2422],{},[599,2409,2410,2412,2414,2416,2418,2420],{},[605,2411,610],{},[712,2413,715],{"stretchy":714},[912,2415,914],{},[712,2417,724],{"stretchy":714},[712,2419,727],{},[912,2421,914],{},[612,2423,2424],{"encoding":614},"f(0) = 0",[583,2426,2428,2455],{"className":2427,"ariaHidden":620},[619],[583,2429,2431,2434,2437,2440,2443,2446,2449,2452],{"className":2430},[624],[583,2432],{"className":2433,"style":748},[628],[583,2435,610],{"className":2436,"style":675},[633,637],[583,2438,715],{"className":2439},[755],[583,2441,914],{"className":2442},[633],[583,2444,724],{"className":2445},[765],[583,2447],{"className":2448,"style":770},[769],[583,2450,727],{"className":2451},[774],[583,2453],{"className":2454,"style":770},[769],[583,2456,2458,2461],{"className":2457},[624],[583,2459],{"className":2460,"style":1005},[628],[583,2462,914],{"className":2463},[633],[565,2465,2466,581,2469,1083,2751,1083,2881,888],{},[569,2467,2468],{},"Ableitungen:",[583,2470,2472,2542],{"className":2471},[586],[583,2473,2475],{"className":2474},[590],[592,2476,2477],{"xmlns":594},[596,2478,2479,2539],{},[599,2480,2481,2487,2489,2491,2493,2495,2497,2503,2505,2508,2510,2512,2514,2516,2518,2520,2522,2524,2527,2529,2531,2533,2535,2537],{},[1027,2482,2483,2485],{},[605,2484,610],{},[712,2486,1035],{"mathvariant":1033,"lspace":1034,"rspace":1034},[712,2488,715],{"stretchy":714},[605,2490,721],{},[712,2492,724],{"stretchy":714},[712,2494,727],{},[912,2496,1868],{},[1027,2498,2499,2501],{},[605,2500,721],{},[912,2502,1880],{},[712,2504,718],{},[912,2506,2507],{},"12",[605,2509,721],{},[712,2511,1883],{},[912,2513,1886],{},[712,2515,727],{},[912,2517,1868],{},[712,2519,715],{"stretchy":714},[605,2521,721],{},[712,2523,718],{},[912,2525,2526],{},"1",[712,2528,724],{"stretchy":714},[712,2530,715],{"stretchy":714},[605,2532,721],{},[712,2534,718],{},[912,2536,1868],{},[712,2538,724],{"stretchy":714},[612,2540,2541],{"encoding":614},"f'(x) = 3x^2 - 12x + 9 = 3(x - 1)(x - 3)",[583,2543,2545,2601,2648,2670,2688,2712,2739],{"className":2544,"ariaHidden":620},[619],[583,2546,2548,2551,2583,2586,2589,2592,2595,2598],{"className":2547},[624],[583,2549],{"className":2550,"style":1268},[628],[583,2552,2554,2557],{"className":2553},[633],[583,2555,610],{"className":2556,"style":675},[633,637],[583,2558,2560],{"className":2559},[642],[583,2561,2563],{"className":2562},[646],[583,2564,2566],{"className":2565},[651],[583,2567,2569],{"className":2568,"style":1067},[655],[583,2570,2571,2574],{"style":1070},[583,2572],{"className":2573,"style":664},[663],[583,2575,2577],{"className":2576},[668,669,670,671],[583,2578,2580],{"className":2579},[633,671],[583,2581,1035],{"className":2582},[633,671],[583,2584,715],{"className":2585},[755],[583,2587,721],{"className":2588},[633,637],[583,2590,724],{"className":2591},[765],[583,2593],{"className":2594,"style":770},[769],[583,2596,727],{"className":2597},[774],[583,2599],{"className":2600,"style":770},[769],[583,2602,2604,2607,2610,2639,2642,2645],{"className":2603},[624],[583,2605],{"className":2606,"style":1928},[628],[583,2608,1868],{"className":2609},[633],[583,2611,2613,2616],{"className":2612},[633],[583,2614,721],{"className":2615},[633,637],[583,2617,2619],{"className":2618},[642],[583,2620,2622],{"className":2621},[646],[583,2623,2625],{"className":2624},[651],[583,2626,2628],{"className":2627,"style":1947},[655],[583,2629,2630,2633],{"style":1070},[583,2631],{"className":2632,"style":664},[663],[583,2634,2636],{"className":2635},[668,669,670,671],[583,2637,1880],{"className":2638},[633,671],[583,2640],{"className":2641,"style":1962},[769],[583,2643,718],{"className":2644},[1966],[583,2646],{"className":2647,"style":1962},[769],[583,2649,2651,2655,2658,2661,2664,2667],{"className":2650},[624],[583,2652],{"className":2653,"style":2654},[628],"height:0.7278em;vertical-align:-0.0833em;",[583,2656,2507],{"className":2657},[633],[583,2659,721],{"className":2660},[633,637],[583,2662],{"className":2663,"style":1962},[769],[583,2665,1883],{"className":2666},[1966],[583,2668],{"className":2669,"style":1962},[769],[583,2671,2673,2676,2679,2682,2685],{"className":2672},[624],[583,2674],{"className":2675,"style":1005},[628],[583,2677,1886],{"className":2678},[633],[583,2680],{"className":2681,"style":770},[769],[583,2683,727],{"className":2684},[774],[583,2686],{"className":2687,"style":770},[769],[583,2689,2691,2694,2697,2700,2703,2706,2709],{"className":2690},[624],[583,2692],{"className":2693,"style":748},[628],[583,2695,1868],{"className":2696},[633],[583,2698,715],{"className":2699},[755],[583,2701,721],{"className":2702},[633,637],[583,2704],{"className":2705,"style":1962},[769],[583,2707,718],{"className":2708},[1966],[583,2710],{"className":2711,"style":1962},[769],[583,2713,2715,2718,2721,2724,2727,2730,2733,2736],{"className":2714},[624],[583,2716],{"className":2717,"style":748},[628],[583,2719,2526],{"className":2720},[633],[583,2722,724],{"className":2723},[765],[583,2725,715],{"className":2726},[755],[583,2728,721],{"className":2729},[633,637],[583,2731],{"className":2732,"style":1962},[769],[583,2734,718],{"className":2735},[1966],[583,2737],{"className":2738,"style":1962},[769],[583,2740,2742,2745,2748],{"className":2741},[624],[583,2743],{"className":2744,"style":748},[628],[583,2746,1868],{"className":2747},[633],[583,2749,724],{"className":2750},[765],[583,2752,2754,2792],{"className":2753},[586],[583,2755,2757],{"className":2756},[590],[592,2758,2759],{"xmlns":594},[596,2760,2761,2789],{},[599,2762,2763,2773,2775,2777,2779,2781,2783,2785,2787],{},[1027,2764,2765,2767],{},[605,2766,610],{},[599,2768,2769,2771],{},[712,2770,1035],{"mathvariant":1033},[712,2772,1035],{"mathvariant":1033},[712,2774,715],{"stretchy":714},[605,2776,721],{},[712,2778,724],{"stretchy":714},[712,2780,727],{},[912,2782,1873],{},[605,2784,721],{},[712,2786,718],{},[912,2788,2507],{},[612,2790,2791],{"encoding":614},"f''(x) = 6x - 12",[583,2793,2795,2851,2872],{"className":2794,"ariaHidden":620},[619],[583,2796,2798,2801,2833,2836,2839,2842,2845,2848],{"className":2797},[624],[583,2799],{"className":2800,"style":1268},[628],[583,2802,2804,2807],{"className":2803},[633],[583,2805,610],{"className":2806,"style":675},[633,637],[583,2808,2810],{"className":2809},[642],[583,2811,2813],{"className":2812},[646],[583,2814,2816],{"className":2815},[651],[583,2817,2819],{"className":2818,"style":1067},[655],[583,2820,2821,2824],{"style":1070},[583,2822],{"className":2823,"style":664},[663],[583,2825,2827],{"className":2826},[668,669,670,671],[583,2828,2830],{"className":2829},[633,671],[583,2831,1150],{"className":2832},[633,671],[583,2834,715],{"className":2835},[755],[583,2837,721],{"className":2838},[633,637],[583,2840,724],{"className":2841},[765],[583,2843],{"className":2844,"style":770},[769],[583,2846,727],{"className":2847},[774],[583,2849],{"className":2850,"style":770},[769],[583,2852,2854,2857,2860,2863,2866,2869],{"className":2853},[624],[583,2855],{"className":2856,"style":2654},[628],[583,2858,1873],{"className":2859},[633],[583,2861,721],{"className":2862},[633,637],[583,2864],{"className":2865,"style":1962},[769],[583,2867,718],{"className":2868},[1966],[583,2870],{"className":2871,"style":1962},[769],[583,2873,2875,2878],{"className":2874},[624],[583,2876],{"className":2877,"style":1005},[628],[583,2879,2507],{"className":2880},[633],[583,2882,2884,2918],{"className":2883},[586],[583,2885,2887],{"className":2886},[590],[592,2888,2889],{"xmlns":594},[596,2890,2891,2915],{},[599,2892,2893,2905,2907,2909,2911,2913],{},[1027,2894,2895,2897],{},[605,2896,610],{},[599,2898,2899,2901,2903],{},[712,2900,1035],{"mathvariant":1033},[712,2902,1035],{"mathvariant":1033},[712,2904,1035],{"mathvariant":1033},[712,2906,715],{"stretchy":714},[605,2908,721],{},[712,2910,724],{"stretchy":714},[712,2912,727],{},[912,2914,1873],{},[612,2916,2917],{"encoding":614},"f'''(x) = 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Mit ",[583,4059,4061,4085],{"className":4060},[586],[583,4062,4064],{"className":4063},[590],[592,4065,4066],{"xmlns":594},[596,4067,4068,4082],{},[599,4069,4070,4072,4074,4076,4078,4080],{},[605,4071,610],{},[712,4073,715],{"stretchy":714},[912,4075,1880],{},[712,4077,724],{"stretchy":714},[712,4079,727],{},[912,4081,1880],{},[612,4083,4084],{"encoding":614},"f(2) = 2",[583,4086,4088,4115],{"className":4087,"ariaHidden":620},[619],[583,4089,4091,4094,4097,4100,4103,4106,4109,4112],{"className":4090},[624],[583,4092],{"className":4093,"style":748},[628],[583,4095,610],{"className":4096,"style":675},[633,637],[583,4098,715],{"className":4099},[755],[583,4101,1880],{"className":4102},[633],[583,4104,724],{"className":4105},[765],[583,4107],{"className":4108,"style":770},[769],[583,4110,727],{"className":4111},[774],[583,4113],{"className":4114,"style":770},[769],[583,4116,4118,4121],{"className":4117},[624],[583,4119],{"className":4120,"style":1005},[628],[583,4122,1880],{"className":4123},[633],[583,4125,4127,4152],{"className":4126},[586],[583,4128,4130],{"className":4129},[590],[592,4131,4132],{"xmlns":594},[596,4133,4134,4149],{},[599,4135,4136,4139,4141,4143,4145,4147],{},[605,4137,4138],{},"W",[712,4140,715],{"stretchy":714},[912,4142,1880],{},[712,4144,3417],{},[912,4146,1880],{},[712,4148,724],{"stretchy":714},[612,4150,4151],{"encoding":614},"W(2 \\mid 2)",[583,4153,4155,4179],{"className":4154,"ariaHidden":620},[619],[583,4156,4158,4161,4164,4167,4170,4173,4176],{"className":4157},[624],[583,4159],{"className":4160,"style":748},[628],[583,4162,4138],{"className":4163,"style":3701},[633,637],[583,4165,715],{"className":4166},[755],[583,4168,1880],{"className":4169},[633],[583,4171],{"className":4172,"style":770},[769],[583,4174,3417],{"className":4175},[774],[583,4177],{"className":4178,"style":770},[769],[583,4180,4182,4185,4188],{"className":4181},[624],[583,4183],{"className":4184,"style":748},[628],[583,4186,1880],{"className":4187},[633],[583,4189,724],{"className":4190},[765]," der Wendepunkt.",[565,4193,4194,4197,4198,4257,4258,4309,4310,4376,4377,4309,4433,888],{},[569,4195,4196],{},"Verhalten im Unendlichen:"," Der Term ",[583,4199,4201,4219],{"className":4200},[586],[583,4202,4204],{"className":4203},[590],[592,4205,4206],{"xmlns":594},[596,4207,4208,4216],{},[599,4209,4210],{},[1027,4211,4212,4214],{},[605,4213,721],{},[912,4215,1868],{},[612,4217,4218],{"encoding":614},"x^3",[583,4220,4222],{"className":4221,"ariaHidden":620},[619],[583,4223,4225,4228],{"className":4224},[624],[583,4226],{"className":4227,"style":1947},[628],[583,4229,4231,4234],{"className":4230},[633],[583,4232,721],{"className":4233},[633,637],[583,4235,4237],{"className":4236},[642],[583,4238,4240],{"className":4239},[646],[583,4241,4243],{"className":4242},[651],[583,4244,4246],{"className":4245,"style":1947},[655],[583,4247,4248,4251],{"style":1070},[583,4249],{"className":4250,"style":664},[663],[583,4252,4254],{"className":4253},[668,669,670,671],[583,4255,1868],{"className":4256},[633,671]," bestimmt das Verhalten. Für ",[583,4259,4261,4279],{"className":4260},[586],[583,4262,4264],{"className":4263},[590],[592,4265,4266],{"xmlns":594},[596,4267,4268,4276],{},[599,4269,4270,4272,4274],{},[605,4271,721],{},[712,4273,1750],{},[605,4275,1756],{"mathvariant":1033},[612,4277,4278],{"encoding":614},"x \\to \\infty",[583,4280,4282,4300],{"className":4281,"ariaHidden":620},[619],[583,4283,4285,4288,4291,4294,4297],{"className":4284},[624],[583,4286],{"className":4287,"style":1769},[628],[583,4289,721],{"className":4290},[633,637],[583,4292],{"className":4293,"style":770},[769],[583,4295,1750],{"className":4296},[774],[583,4298],{"className":4299,"style":770},[769],[583,4301,4303,4306],{"className":4302},[624],[583,4304],{"className":4305,"style":1769},[628],[583,4307,1756],{"className":4308},[633]," gilt ",[583,4311,4313,4337],{"className":4312},[586],[583,4314,4316],{"className":4315},[590],[592,4317,4318],{"xmlns":594},[596,4319,4320,4334],{},[599,4321,4322,4324,4326,4328,4330,4332],{},[605,4323,610],{},[712,4325,715],{"stretchy":714},[605,4327,721],{},[712,4329,724],{"stretchy":714},[712,4331,1750],{},[605,4333,1756],{"mathvariant":1033},[612,4335,4336],{"encoding":614},"f(x) \\to \\infty",[583,4338,4340,4367],{"className":4339,"ariaHidden":620},[619],[583,4341,4343,4346,4349,4352,4355,4358,4361,4364],{"className":4342},[624],[583,4344],{"className":4345,"style":748},[628],[583,4347,610],{"className":4348,"style":675},[633,637],[583,4350,715],{"className":4351},[755],[583,4353,721],{"className":4354},[633,637],[583,4356,724],{"className":4357},[765],[583,4359],{"className":4360,"style":770},[769],[583,4362,1750],{"className":4363},[774],[583,4365],{"className":4366,"style":770},[769],[583,4368,4370,4373],{"className":4369},[624],[583,4371],{"className":4372,"style":1769},[628],[583,4374,1756],{"className":4375},[633],", für ",[583,4378,4380,4400],{"className":4379},[586],[583,4381,4383],{"className":4382},[590],[592,4384,4385],{"xmlns":594},[596,4386,4387,4397],{},[599,4388,4389,4391,4393,4395],{},[605,4390,721],{},[712,4392,1750],{},[712,4394,718],{},[605,4396,1756],{"mathvariant":1033},[612,4398,4399],{"encoding":614},"x \\to -\\infty",[583,4401,4403,4421],{"className":4402,"ariaHidden":620},[619],[583,4404,4406,4409,4412,4415,4418],{"className":4405},[624],[583,4407],{"className":4408,"style":1769},[628],[583,4410,721],{"className":4411},[633,637],[583,4413],{"className":4414,"style":770},[769],[583,4416,1750],{"className":4417},[774],[583,4419],{"className":4420,"style":770},[769],[583,4422,4424,4427,4430],{"className":4423},[624],[583,4425],{"className":4426,"style":1788},[628],[583,4428,718],{"className":4429},[633],[583,4431,1756],{"className":4432},[633],[583,4434,4436,4462],{"className":4435},[586],[583,4437,4439],{"className":4438},[590],[592,4440,4441],{"xmlns":594},[596,4442,4443,4459],{},[599,4444,4445,4447,4449,4451,4453,4455,4457],{},[605,4446,610],{},[712,4448,715],{"stretchy":714},[605,4450,721],{},[712,4452,724],{"stretchy":714},[712,4454,1750],{},[712,4456,718],{},[605,4458,1756],{"mathvariant":1033},[612,4460,4461],{"encoding":614},"f(x) \\to -\\infty",[583,4463,4465,4492],{"className":4464,"ariaHidden":620},[619],[583,4466,4468,4471,4474,4477,4480,4483,4486,4489],{"className":4467},[624],[583,4469],{"className":4470,"style":748},[628],[583,4472,610],{"className":4473,"style":675},[633,637],[583,4475,715],{"className":4476},[755],[583,4478,721],{"className":4479},[633,637],[583,4481,724],{"className":4482},[765],[583,4484],{"className":4485,"style":770},[769],[583,4487,1750],{"className":4488},[774],[583,4490],{"className":4491,"style":770},[769],[583,4493,4495,4498,4501],{"className":4494},[624],[583,4496],{"className":4497,"style":1788},[628],[583,4499,718],{"className":4500},[633],[583,4502,1756],{"className":4503},[633],[565,4505,4506,581,4509,1083,4608,1083,4712,4811,4812,4840,4841,4902,4903,4956,4957,888],{},[569,4507,4508],{},"Monotonie:",[583,4510,4512,4540],{"className":4511},[586],[583,4513,4515],{"className":4514},[590],[592,4516,4517],{"xmlns":594},[596,4518,4519,4537],{},[599,4520,4521,4527,4529,4531,4533,4535],{},[1027,4522,4523,4525],{},[605,4524,610],{},[712,4526,1035],{"mathvariant":1033,"lspace":1034,"rspace":1034},[712,4528,715],{"stretchy":714},[912,4530,914],{},[712,4532,724],{"stretchy":714},[712,4534,727],{},[912,4536,1886],{},[612,4538,4539],{"encoding":614},"f'(0) = 9",[583,4541,4543,4599],{"className":4542,"ariaHidden":620},[619],[583,4544,4546,4549,4581,4584,4587,4590,4593,4596],{"className":4545},[624],[583,4547],{"className":4548,"style":1268},[628],[583,4550,4552,4555],{"className":4551},[633],[583,4553,610],{"className":4554,"style":675},[633,637],[583,4556,4558],{"className":4557},[642],[583,4559,4561],{"className":4560},[646],[583,4562,4564],{"className":4563},[651],[583,4565,4567],{"className":4566,"style":1067},[655],[583,4568,4569,4572],{"style":1070},[583,4570],{"className":4571,"style":664},[663],[583,4573,4575],{"className":4574},[668,669,670,671],[583,4576,4578],{"className":4577},[633,671],[583,4579,1035],{"className":4580},[633,671],[583,4582,715],{"className":4583},[755],[583,4585,914],{"className":4586},[633],[583,4588,724],{"className":4589},[765],[583,4591],{"className":4592,"style":770},[769],[583,4594,727],{"className":4595},[774],[583,4597],{"className":4598,"style":770},[769],[583,4600,4602,4605],{"className":4601},[624],[583,4603],{"className":4604,"style":1005},[628],[583,4606,1886],{"className":4607},[633],[583,4609,4611,4641],{"className":4610},[586],[583,4612,4614],{"className":4613},[590],[592,4615,4616],{"xmlns":594},[596,4617,4618,4638],{},[599,4619,4620,4626,4628,4630,4632,4634,4636],{},[1027,4621,4622,4624],{},[605,4623,610],{},[712,4625,1035],{"mathvariant":1033,"lspace":1034,"rspace":1034},[712,4627,715],{"stretchy":714},[912,4629,1880],{},[712,4631,724],{"stretchy":714},[712,4633,727],{},[712,4635,718],{},[912,4637,1868],{},[612,4639,4640],{"encoding":614},"f'(2) = 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= 9",[583,4744,4746,4802],{"className":4745,"ariaHidden":620},[619],[583,4747,4749,4752,4784,4787,4790,4793,4796,4799],{"className":4748},[624],[583,4750],{"className":4751,"style":1268},[628],[583,4753,4755,4758],{"className":4754},[633],[583,4756,610],{"className":4757,"style":675},[633,637],[583,4759,4761],{"className":4760},[642],[583,4762,4764],{"className":4763},[646],[583,4765,4767],{"className":4766},[651],[583,4768,4770],{"className":4769,"style":1067},[655],[583,4771,4772,4775],{"style":1070},[583,4773],{"className":4774,"style":664},[663],[583,4776,4778],{"className":4777},[668,669,670,671],[583,4779,4781],{"className":4780},[633,671],[583,4782,1035],{"className":4783},[633,671],[583,4785,715],{"className":4786},[755],[583,4788,3352],{"className":4789},[633],[583,4791,724],{"className":4792},[765],[583,4794],{"className":4795,"style":770},[769],[583,4797,727],{"className":4798},[774],[583,4800],{"className":4801,"style":770},[769],[583,4803,4805,4808],{"className":4804},[624],[583,4806],{"className":4807,"style":1005},[628],[583,4809,1886],{"className":4810},[633],". Also steigt ",[583,4813,4815,4828],{"className":4814},[586],[583,4816,4818],{"className":4817},[590],[592,4819,4820],{"xmlns":594},[596,4821,4822,4826],{},[599,4823,4824],{},[605,4825,610],{},[612,4827,610],{"encoding":614},[583,4829,4831],{"className":4830,"ariaHidden":620},[619],[583,4832,4834,4837],{"className":4833},[624],[583,4835],{"className":4836,"style":1482},[628],[583,4838,610],{"className":4839,"style":675},[633,637]," auf ",[583,4842,4844,4870],{"className":4843},[586],[583,4845,4847],{"className":4846},[590],[592,4848,4849],{"xmlns":594},[596,4850,4851,4867],{},[599,4852,4853,4855,4857,4859,4862,4864],{},[712,4854,715],{"stretchy":714},[712,4856,718],{},[605,4858,1756],{"mathvariant":1033},[712,4860,4861],{"separator":620},",",[912,4863,2526],{},[712,4865,4866],{"stretchy":714},"]",[612,4868,4869],{"encoding":614},"(-\\infty, 1]",[583,4871,4873],{"className":4872,"ariaHidden":620},[619],[583,4874,4876,4879,4882,4885,4888,4892,4896,4899],{"className":4875},[624],[583,4877],{"className":4878,"style":748},[628],[583,4880,715],{"className":4881},[755],[583,4883,718],{"className":4884},[633],[583,4886,1756],{"className":4887},[633],[583,4889,4861],{"className":4890},[4891],"mpunct",[583,4893],{"className":4894,"style":4895},[769],"margin-right:0.1667em;",[583,4897,2526],{"className":4898},[633],[583,4900,4866],{"className":4901},[765],", fällt auf ",[583,4904,4906,4929],{"className":4905},[586],[583,4907,4909],{"className":4908},[590],[592,4910,4911],{"xmlns":594},[596,4912,4913,4926],{},[599,4914,4915,4918,4920,4922,4924],{},[712,4916,4917],{"stretchy":714},"[",[912,4919,2526],{},[712,4921,4861],{"separator":620},[912,4923,1868],{},[712,4925,4866],{"stretchy":714},[612,4927,4928],{"encoding":614},"[1, 3]",[583,4930,4932],{"className":4931,"ariaHidden":620},[619],[583,4933,4935,4938,4941,4944,4947,4950,4953],{"className":4934},[624],[583,4936],{"className":4937,"style":748},[628],[583,4939,4917],{"className":4940},[755],[583,4942,2526],{"className":4943},[633],[583,4945,4861],{"className":4946},[4891],[583,4948],{"className":4949,"style":4895},[769],[583,4951,1868],{"className":4952},[633],[583,4954,4866],{"className":4955},[765]," und steigt auf ",[583,4958,4960,4982],{"className":4959},[586],[583,4961,4963],{"className":4962},[590],[592,4964,4965],{"xmlns":594},[596,4966,4967,4979],{},[599,4968,4969,4971,4973,4975,4977],{},[712,4970,4917],{"stretchy":714},[912,4972,1868],{},[712,4974,4861],{"separator":620},[605,4976,1756],{"mathvariant":1033},[712,4978,724],{"stretchy":714},[612,4980,4981],{"encoding":614},"[3, \\infty)",[583,4983,4985],{"className":4984,"ariaHidden":620},[619],[583,4986,4988,4991,4994,4997,5000,5003,5006],{"className":4987},[624],[583,4989],{"className":4990,"style":748},[628],[583,4992,4917],{"className":4993},[755],[583,4995,1868],{"className":4996},[633],[583,4998,4861],{"className":4999},[4891],[583,5001],{"className":5002,"style":4895},[769],[583,5004,1756],{"className":5005},[633],[583,5007,724],{"className":5008},[765],[565,5010,5011,5014,5015,3395,5067,5170,5171,3395,5222,5325],{},[569,5012,5013],{},"Krümmung:"," Für ",[583,5016,5018,5036],{"className":5017},[586],[583,5019,5021],{"className":5020},[590],[592,5022,5023],{"xmlns":594},[596,5024,5025,5033],{},[599,5026,5027,5029,5031],{},[605,5028,721],{},[712,5030,3232],{},[912,5032,1880],{},[612,5034,5035],{"encoding":614},"x \u003C 2",[583,5037,5039,5058],{"className":5038,"ariaHidden":620},[619],[583,5040,5042,5046,5049,5052,5055],{"className":5041},[624],[583,5043],{"className":5044,"style":5045},[628],"height:0.5782em;vertical-align:-0.0391em;",[583,5047,721],{"className":5048},[633,637],[583,5050],{"className":5051,"style":770},[769],[583,5053,3232],{"className":5054},[774],[583,5056],{"className":5057,"style":770},[769],[583,5059,5061,5064],{"className":5060},[624],[583,5062],{"className":5063,"style":1005},[628],[583,5065,1880],{"className":5066},[633],[583,5068,5070,5102],{"className":5069},[586],[583,5071,5073],{"className":5072},[590],[592,5074,5075],{"xmlns":594},[596,5076,5077,5099],{},[599,5078,5079,5089,5091,5093,5095,5097],{},[1027,5080,5081,5083],{},[605,5082,610],{},[599,5084,5085,5087],{},[712,5086,1035],{"mathvariant":1033},[712,5088,1035],{"mathvariant":1033},[712,5090,715],{"stretchy":714},[605,5092,721],{},[712,5094,724],{"stretchy":714},[712,5096,3232],{},[912,5098,914],{},[612,5100,5101],{"encoding":614},"f''(x) \u003C 0",[583,5103,5105,5161],{"className":5104,"ariaHidden":620},[619],[583,5106,5108,5111,5143,5146,5149,5152,5155,5158],{"className":5107},[624],[583,5109],{"className":5110,"style":1268},[628],[583,5112,5114,5117],{"className":5113},[633],[583,5115,610],{"className":5116,"style":675},[633,637],[583,5118,5120],{"className":5119},[642],[583,5121,5123],{"className":5122},[646],[583,5124,5126],{"className":5125},[651],[583,5127,5129],{"className":5128,"style":1067},[655],[583,5130,5131,5134],{"style":1070},[583,5132],{"className":5133,"style":664},[663],[583,5135,5137],{"className":5136},[668,669,670,671],[583,5138,5140],{"className":5139},[633,671],[583,5141,1150],{"className":5142},[633,671],[583,5144,715],{"className":5145},[755],[583,5147,721],{"className":5148},[633,637],[583,5150,724],{"className":5151},[765],[583,5153],{"className":5154,"style":770},[769],[583,5156,3232],{"className":5157},[774],[583,5159],{"className":5160,"style":770},[769],[583,5162,5164,5167],{"className":5163},[624],[583,5165],{"className":5166,"style":1005},[628],[583,5168,914],{"className":5169},[633]," (Rechtskurve), für ",[583,5172,5174,5192],{"className":5173},[586],[583,5175,5177],{"className":5176},[590],[592,5178,5179],{"xmlns":594},[596,5180,5181,5189],{},[599,5182,5183,5185,5187],{},[605,5184,721],{},[712,5186,3502],{},[912,5188,1880],{},[612,5190,5191],{"encoding":614},"x > 2",[583,5193,5195,5213],{"className":5194,"ariaHidden":620},[619],[583,5196,5198,5201,5204,5207,5210],{"className":5197},[624],[583,5199],{"className":5200,"style":5045},[628],[583,5202,721],{"className":5203},[633,637],[583,5205],{"className":5206,"style":770},[769],[583,5208,3502],{"className":5209},[774],[583,5211],{"className":5212,"style":770},[769],[583,5214,5216,5219],{"className":5215},[624],[583,5217],{"className":5218,"style":1005},[628],[583,5220,1880],{"className":5221},[633],[583,5223,5225,5257],{"className":5224},[586],[583,5226,5228],{"className":5227},[590],[592,5229,5230],{"xmlns":594},[596,5231,5232,5254],{},[599,5233,5234,5244,5246,5248,5250,5252],{},[1027,5235,5236,5238],{},[605,5237,610],{},[599,5239,5240,5242],{},[712,5241,1035],{"mathvariant":1033},[712,5243,1035],{"mathvariant":1033},[712,5245,715],{"stretchy":714},[605,5247,721],{},[712,5249,724],{"stretchy":714},[712,5251,3502],{},[912,5253,914],{},[612,5255,5256],{"encoding":614},"f''(x) > 0",[583,5258,5260,5316],{"className":5259,"ariaHidden":620},[619],[583,5261,5263,5266,5298,5301,5304,5307,5310,5313],{"className":5262},[624],[583,5264],{"className":5265,"style":1268},[628],[583,5267,5269,5272],{"className":5268},[633],[583,5270,610],{"className":5271,"style":675},[633,637],[583,5273,5275],{"className":5274},[642],[583,5276,5278],{"className":5277},[646],[583,5279,5281],{"className":5280},[651],[583,5282,5284],{"className":5283,"style":1067},[655],[583,5285,5286,5289],{"style":1070},[583,5287],{"className":5288,"style":664},[663],[583,5290,5292],{"className":5291},[668,669,670,671],[583,5293,5295],{"className":5294},[633,671],[583,5296,1150],{"className":5297},[633,671],[583,5299,715],{"className":5300},[755],[583,5302,721],{"className":5303},[633,637],[583,5305,724],{"className":5306},[765],[583,5308],{"className":5309,"style":770},[769],[583,5311,3502],{"className":5312},[774],[583,5314],{"className":5315,"style":770},[769],[583,5317,5319,5322],{"className":5318},[624],[583,5320],{"className":5321,"style":1005},[628],[583,5323,914],{"className":5324},[633]," (Linkskurve).",[560,5327,5329],{"id":5328},"typische-fehler","Typische Fehler",[3192,5331,5332,5491,5638,5691],{},[576,5333,5334,5335,5396,5397,5462,5463,888],{},"Die y-Werte von Extrem- oder Wendepunkten in ",[583,5336,5338,5355],{"className":5337},[586],[583,5339,5341],{"className":5340},[590],[592,5342,5343],{"xmlns":594},[596,5344,5345,5353],{},[599,5346,5347],{},[1027,5348,5349,5351],{},[605,5350,610],{},[712,5352,1035],{"mathvariant":1033,"lspace":1034,"rspace":1034},[612,5354,1038],{"encoding":614},[583,5356,5358],{"className":5357,"ariaHidden":620},[619],[583,5359,5361,5364],{"className":5360},[624],[583,5362],{"className":5363,"style":1048},[628],[583,5365,5367,5370],{"className":5366},[633],[583,5368,610],{"className":5369,"style":675},[633,637],[583,5371,5373],{"className":5372},[642],[583,5374,5376],{"className":5375},[646],[583,5377,5379],{"className":5378},[651],[583,5380,5382],{"className":5381,"style":1067},[655],[583,5383,5384,5387],{"style":1070},[583,5385],{"className":5386,"style":664},[663],[583,5388,5390],{"className":5389},[668,669,670,671],[583,5391,5393],{"className":5392},[633,671],[583,5394,1035],{"className":5395},[633,671]," oder ",[583,5398,5400,5421],{"className":5399},[586],[583,5401,5403],{"className":5402},[590],[592,5404,5405],{"xmlns":594},[596,5406,5407,5419],{},[599,5408,5409],{},[1027,5410,5411,5413],{},[605,5412,610],{},[599,5414,5415,5417],{},[712,5416,1035],{"mathvariant":1033},[712,5418,1035],{"mathvariant":1033},[612,5420,1108],{"encoding":614},[583,5422,5424],{"className":5423,"ariaHidden":620},[619],[583,5425,5427,5430],{"className":5426},[624],[583,5428],{"className":5429,"style":1048},[628],[583,5431,5433,5436],{"className":5432},[633],[583,5434,610],{"className":5435,"style":675},[633,637],[583,5437,5439],{"className":5438},[642],[583,5440,5442],{"className":5441},[646],[583,5443,5445],{"className":5444},[651],[583,5446,5448],{"className":5447,"style":1067},[655],[583,5449,5450,5453],{"style":1070},[583,5451],{"className":5452,"style":664},[663],[583,5454,5456],{"className":5455},[668,669,670,671],[583,5457,5459],{"className":5458},[633,671],[583,5460,1150],{"className":5461},[633,671]," einsetzen statt in ",[583,5464,5466,5479],{"className":5465},[586],[583,5467,5469],{"className":5468},[590],[592,5470,5471],{"xmlns":594},[596,5472,5473,5477],{},[599,5474,5475],{},[605,5476,610],{},[612,5478,610],{"encoding":614},[583,5480,5482],{"className":5481,"ariaHidden":620},[619],[583,5483,5485,5488],{"className":5484},[624],[583,5486],{"className":5487,"style":1482},[628],[583,5489,610],{"className":5490,"style":675},[633,637],[576,5492,5493,5494,5637],{},"Nur die notwendige Bedingung prüfen. Ohne hinreichende Bedingung ist ",[583,5495,5497,5529],{"className":5496},[586],[583,5498,5500],{"className":5499},[590],[592,5501,5502],{"xmlns":594},[596,5503,5504,5526],{},[599,5505,5506,5512,5514,5520,5522,5524],{},[1027,5507,5508,5510],{},[605,5509,610],{},[712,5511,1035],{"mathvariant":1033,"lspace":1034,"rspace":1034},[712,5513,715],{"stretchy":714},[602,5515,5516,5518],{},[605,5517,721],{},[912,5519,914],{},[712,5521,724],{"stretchy":714},[712,5523,727],{},[912,5525,914],{},[612,5527,5528],{"encoding":614},"f'(x_0) = 0",[583,5530,5532,5628],{"className":5531,"ariaHidden":620},[619],[583,5533,5535,5538,5570,5573,5616,5619,5622,5625],{"className":5534},[624],[583,5536],{"className":5537,"style":1268},[628],[583,5539,5541,5544],{"className":5540},[633],[583,5542,610],{"className":5543,"style":675},[633,637],[583,5545,5547],{"className":5546},[642],[583,5548,5550],{"className":5549},[646],[583,5551,5553],{"className":5552},[651],[583,5554,5556],{"className":5555,"style":1067},[655],[583,5557,5558,5561],{"style":1070},[583,5559],{"className":5560,"style":664},[663],[583,5562,5564],{"className":5563},[668,669,670,671],[583,5565,5567],{"className":5566},[633,671],[583,5568,1035],{"className":5569},[633,671],[583,5571,715],{"className":5572},[755],[583,5574,5576,5579],{"className":5575},[633],[583,5577,721],{"className":5578},[633,637],[583,5580,5582],{"className":5581},[642],[583,5583,5585,5607],{"className":5584},[646,647],[583,5586,5588,5604],{"className":5587},[651],[583,5589,5592],{"className":5590,"style":5591},[655],"height:0.3011em;",[583,5593,5595,5598],{"style":5594},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[583,5596],{"className":5597,"style":664},[663],[583,5599,5601],{"className":5600},[668,669,670,671],[583,5602,914],{"className":5603},[633,671],[583,5605,680],{"className":5606},[679],[583,5608,5610],{"className":5609},[651],[583,5611,5614],{"className":5612,"style":5613},[655],"height:0.15em;",[583,5615],{},[583,5617,724],{"className":5618},[765],[583,5620],{"className":5621,"style":770},[769],[583,5623,727],{"className":5624},[774],[583,5626],{"className":5627,"style":770},[769],[583,5629,5631,5634],{"className":5630},[624],[583,5632],{"className":5633,"style":1005},[628],[583,5635,914],{"className":5636},[633]," noch kein Extremum.",[576,5639,5640,5641,888],{},"Eine doppelte Nullstelle übersehen. Dort berührt der Graph die x-Achse nur, wie hier bei ",[583,5642,5644,5661],{"className":5643},[586],[583,5645,5647],{"className":5646},[590],[592,5648,5649],{"xmlns":594},[596,5650,5651,5659],{},[599,5652,5653,5655,5657],{},[605,5654,721],{},[712,5656,727],{},[912,5658,1868],{},[612,5660,2366],{"encoding":614},[583,5662,5664,5682],{"className":5663,"ariaHidden":620},[619],[583,5665,5667,5670,5673,5676,5679],{"className":5666},[624],[583,5668],{"className":5669,"style":1769},[628],[583,5671,721],{"className":5672},[633,637],[583,5674],{"className":5675,"style":770},[769],[583,5677,727],{"className":5678},[774],[583,5680],{"className":5681,"style":770},[769],[583,5683,5685,5688],{"className":5684},[624],[583,5686],{"className":5687,"style":1005},[628],[583,5689,1868],{"className":5690},[633],[576,5692,5693,5694,5859,5860,5910,5911,888],{},"Beim Ausklammern eine Nullstelle verlieren: Aus ",[583,5695,5697,5735],{"className":5696},[586],[583,5698,5700],{"className":5699},[590],[592,5701,5702],{"xmlns":594},[596,5703,5704,5732],{},[599,5705,5706,5712,5714,5716,5722,5724,5726,5728,5730],{},[1027,5707,5708,5710],{},[605,5709,721],{},[912,5711,1868],{},[712,5713,718],{},[912,5715,1873],{},[1027,5717,5718,5720],{},[605,5719,721],{},[912,5721,1880],{},[712,5723,1883],{},[912,5725,1886],{},[605,5727,721],{},[712,5729,727],{},[912,5731,914],{},[612,5733,5734],{"encoding":614},"x^3 - 6x^2 + 9x = 0",[583,5736,5738,5782,5829,5850],{"className":5737,"ariaHidden":620},[619],[583,5739,5741,5744,5773,5776,5779],{"className":5740},[624],[583,5742],{"className":5743,"style":1928},[628],[583,5745,5747,5750],{"className":5746},[633],[583,5748,721],{"className":5749},[633,637],[583,5751,5753],{"className":5752},[642],[583,5754,5756],{"className":5755},[646],[583,5757,5759],{"className":5758},[651],[583,5760,5762],{"className":5761,"style":1947},[655],[583,5763,5764,5767],{"style":1070},[583,5765],{"className":5766,"style":664},[663],[583,5768,5770],{"className":5769},[668,669,670,671],[583,5771,1868],{"className":5772},[633,671],[583,5774],{"className":5775,"style":1962},[769],[583,5777,718],{"className":5778},[1966],[583,5780],{"className":5781,"style":1962},[769],[583,5783,5785,5788,5791,5820,5823,5826],{"className":5784},[624],[583,5786],{"className":5787,"style":1928},[628],[583,5789,1873],{"className":5790},[633],[583,5792,5794,5797],{"className":5793},[633],[583,5795,721],{"className":5796},[633,637],[583,5798,5800],{"className":5799},[642],[583,5801,5803],{"className":5802},[646],[583,5804,5806],{"className":5805},[651],[583,5807,5809],{"className":5808,"style":1947},[655],[583,5810,5811,5814],{"style":1070},[583,5812],{"className":5813,"style":664},[663],[583,5815,5817],{"className":5816},[668,669,670,671],[583,5818,1880],{"className":5819},[633,671],[583,5821],{"className":5822,"style":1962},[769],[583,5824,1883],{"className":5825},[1966],[583,5827],{"className":5828,"style":1962},[769],[583,5830,5832,5835,5838,5841,5844,5847],{"className":5831},[624],[583,5833],{"className":5834,"style":1005},[628],[583,5836,1886],{"className":5837},[633],[583,5839,721],{"className":5840},[633,637],[583,5842],{"className":5843,"style":770},[769],[583,5845,727],{"className":5846},[774],[583,5848],{"className":5849,"style":770},[769],[583,5851,5853,5856],{"className":5852},[624],[583,5854],{"className":5855,"style":1005},[628],[583,5857,914],{"className":5858},[633]," folgt auch ",[583,5861,5863,5880],{"className":5862},[586],[583,5864,5866],{"className":5865},[590],[592,5867,5868],{"xmlns":594},[596,5869,5870,5878],{},[599,5871,5872,5874,5876],{},[605,5873,721],{},[712,5875,727],{},[912,5877,914],{},[612,5879,2314],{"encoding":614},[583,5881,5883,5901],{"className":5882,"ariaHidden":620},[619],[583,5884,5886,5889,5892,5895,5898],{"className":5885},[624],[583,5887],{"className":5888,"style":1769},[628],[583,5890,721],{"className":5891},[633,637],[583,5893],{"className":5894,"style":770},[769],[583,5896,727],{"className":5897},[774],[583,5899],{"className":5900,"style":770},[769],[583,5902,5904,5907],{"className":5903},[624],[583,5905],{"className":5906,"style":1005},[628],[583,5908,914],{"className":5909},[633],", nicht nur die Lösungen von ",[583,5912,5914,5946],{"className":5913},[586],[583,5915,5917],{"className":5916},[590],[592,5918,5919],{"xmlns":594},[596,5920,5921,5943],{},[599,5922,5923,5929,5931,5933,5935,5937,5939,5941],{},[1027,5924,5925,5927],{},[605,5926,721],{},[912,5928,1880],{},[712,5930,718],{},[912,5932,1873],{},[605,5934,721],{},[712,5936,1883],{},[912,5938,1886],{},[712,5940,727],{},[912,5942,914],{},[612,5944,5945],{"encoding":614},"x^2 - 6x + 9 = 0",[583,5947,5949,5993,6014,6032],{"className":5948,"ariaHidden":620},[619],[583,5950,5952,5955,5984,5987,5990],{"className":5951},[624],[583,5953],{"className":5954,"style":1928},[628],[583,5956,5958,5961],{"className":5957},[633],[583,5959,721],{"className":5960},[633,637],[583,5962,5964],{"className":5963},[642],[583,5965,5967],{"className":5966},[646],[583,5968,5970],{"className":5969},[651],[583,5971,5973],{"className":5972,"style":1947},[655],[583,5974,5975,5978],{"style":1070},[583,5976],{"className":5977,"style":664},[663],[583,5979,5981],{"className":5980},[668,669,670,671],[583,5982,1880],{"className":5983},[633,671],[583,5985],{"className":5986,"style":1962},[769],[583,5988,718],{"className":5989},[1966],[583,5991],{"className":5992,"style":1962},[769],[583,5994,5996,5999,6002,6005,6008,6011],{"className":5995},[624],[583,5997],{"className":5998,"style":2654},[628],[583,6000,1873],{"className":6001},[633],[583,6003,721],{"className":6004},[633,637],[583,6006],{"className":6007,"style":1962},[769],[583,6009,1883],{"className":6010},[1966],[583,6012],{"className":6013,"style":1962},[769],[583,6015,6017,6020,6023,6026,6029],{"className":6016},[624],[583,6018],{"className":6019,"style":1005},[628],[583,6021,1886],{"className":6022},[633],[583,6024],{"className":6025,"style":770},[769],[583,6027,727],{"className":6028},[774],[583,6030],{"className":6031,"style":770},[769],[583,6033,6035,6038],{"className":6034},[624],[583,6036],{"className":6037,"style":1005},[628],[583,6039,914],{"className":6040},[633],{"title":6042,"searchDepth":6043,"depth":6043,"links":6044},"",2,[6045,6046,6047],{"id":562,"depth":6043,"text":563},{"id":1836,"depth":6043,"text":1837},{"id":5328,"depth":6043,"text":5329},[6049,6052,6055,6057,6060,6063,6065,6067,6070,6072,6074,6077],{"lhs":6050,"rhs":6051},"x^3 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193.28 L 195.5 192.22 L 196.56 191.03 L 197.63 189.72 L 198.69 188.28 L 199.75 186.7 L 200.81 185 L 201.88 183.15 L 202.94 181.17 L 204 179.05 L 205.06 176.79 L 206.13 174.38 L 207.19 171.83 L 208.25 169.13 L 209.31 166.28 L 210.38 163.27 L 211.44 160.11 L 212.5 156.79 L 213.56 153.32 L 214.63 149.68 L 215.69 145.87 L 216.75 141.9 L 217.81 137.76 L 218.88 133.46 L 219.94 128.98 L 221 124.32 L 222.06 119.49 L 223.13 114.47 L 224.19 109.28 L 225.25 103.9 L 226.31 98.34 L 227.38 92.59 L 228.44 86.65 L 229.5 80.51 L 230.56 74.18 L 231.63 67.66 L 232.69 60.93 L 233.75 54.01 L 234.81 46.88 L 235.88 39.54 L 236.94 32 L 238 24.25 L 239.06 16.29 L 240.13 8.11 L 241.19 -0.29 L 242.25 -8.9 L 243.31 -17.73 L 244.38 -26.79 L 245.44 -36.07 L 246.5 -45.58 L 247.56 -55.32 L 248.63 -65.29 L 249.69 -75.5 L 250.75 -85.94 L 251.81 -96.62 L 252.88 -107.54 L 253.94 -118.7 L 255 -130.11\" class=\"fig-main fig-graph\" clip-path=\"url(#fig-curve-sketching-clip)\"\u002F>\u003Ccircle cx=\"85\" cy=\"45.6\" r=\"3\" class=\"fig-dot\"\u002F>\u003Ctext x=\"79\" y=\"31.6\" text-anchor=\"start\" dominant-baseline=\"middle\" class=\"fig-label fig-upright\">H\u003C\u002Ftext>\u003Ccircle cx=\"135\" cy=\"121.6\" r=\"3\" class=\"fig-dot\"\u002F>\u003Ctext x=\"143\" y=\"111.6\" text-anchor=\"start\" dominant-baseline=\"middle\" class=\"fig-label fig-upright\">W\u003C\u002Ftext>\u003Ccircle cx=\"185\" cy=\"197.6\" r=\"3\" class=\"fig-dot\"\u002F>\u003Ctext x=\"181\" y=\"183.6\" text-anchor=\"start\" dominant-baseline=\"middle\" class=\"fig-label fig-upright\">T\u003C\u002Ftext>\u003Ctext x=\"215\" y=\"30.4\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">f\u003C\u002Ftext>\u003C\u002Fsvg>","curve-sketching","\\begin{array}{ll} \\text{Nullstellen:} & f(x) = 0 \\\\ \\text{Extremkandidaten:} & f'(x) = 0 \\\\ \\text{Wendekandidaten:} & f''(x) = 0 \\end{array}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmtable rowspacing=\"0.16em\" columnalign=\"left left\" columnspacing=\"1em\">\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmtext>Nullstellen:\u003C\u002Fmtext>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\u003Cmi>f\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmtext>Extremkandidaten:\u003C\u002Fmtext>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\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>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmtext>Wendekandidaten:\u003C\u002Fmtext>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\u003Cmsup>\u003Cmi>f\u003C\u002Fmi>\u003Cmrow>\u003Cmo mathvariant=\"normal\">′\u003C\u002Fmo>\u003Cmo mathvariant=\"normal\">′\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003C\u002Fmtable>\u003Cannotation encoding=\"application\u002Fx-tex\">\\begin{array}{ll} \\text{Nullstellen:} & f(x) = 0 \\\\ \\text{Extremkandidaten:} & f'(x) = 0 \\\\ \\text{Wendekandidaten:} & f''(x) = 0 \\end{array}\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:3.6em;vertical-align:-1.55em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mtable\">\u003Cspan class=\"arraycolsep\" style=\"width:0.5em;\">\u003C\u002Fspan>\u003Cspan class=\"col-align-l\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:2.05em;\">\u003Cspan style=\"top:-4.21em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord text\">\u003Cspan class=\"mord\">Nullstellen:\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.01em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord text\">\u003Cspan class=\"mord\">Extremkandidaten:\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-1.81em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord text\">\u003Cspan class=\"mord\">Wendekandidaten:\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.55em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"arraycolsep\" style=\"width:0.5em;\">\u003C\u002Fspan>\u003Cspan class=\"arraycolsep\" style=\"width:0.5em;\">\u003C\u002Fspan>\u003Cspan class=\"col-align-l\">\u003Cspan class=\"vlist-t 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