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und der Steigung ",[573,1177,1179,1213],{"className":1178},[576],[573,1180,1182],{"className":1181},[580],[582,1183,1184],{"xmlns":584},[586,1185,1186,1210],{},[589,1187,1188,1191,1194,1200,1202,1208],{},[592,1189,1190],{},"m",[636,1192,1193],{},"=",[828,1195,1196,1198],{},[592,1197,594],{},[636,1199,836],{"mathvariant":834,"lspace":835,"rspace":835},[636,1201,639],{"stretchy":638},[641,1203,1204,1206],{},[592,1205,645],{},[647,1207,649],{},[636,1209,665],{"stretchy":638},[596,1211,1212],{"encoding":598},"m = f'(x_0)",[573,1214,1216,1235],{"className":1215,"ariaHidden":603},[602],[573,1217,1219,1223,1226,1229,1232],{"className":1218},[607],[573,1220],{"className":1221,"style":1222},[611],"height:0.4306em;",[573,1224,1190],{"className":1225},[616,617],[573,1227],{"className":1228,"style":749},[748],[573,1230,1193],{"className":1231},[753],[573,1233],{"className":1234,"style":749},[748],[573,1236,1238,1241,1273,1276,1316],{"className":1237},[607],[573,1239],{"className":1240,"style":859},[611],[573,1242,1244,1247],{"className":1243},[616],[573,1245,594],{"className":1246,"style":618},[616,617],[573,1248,1250],{"className":1249},[698],[573,1251,1253],{"className":1252},[702],[573,1254,1256],{"className":1255},[707],[573,1257,1259],{"className":1258,"style":878},[711],[573,1260,1261,1264],{"style":881},[573,1262],{"className":1263,"style":720},[719],[573,1265,1267],{"className":1266},[724,725,726,727],[573,1268,1270],{"className":1269},[616,727],[573,1271,836],{"className":1272},[616,727],[573,1274,639],{"className":1275},[688],[573,1277,1279,1282],{"className":1278},[616],[573,1280,645],{"className":1281},[616,617],[573,1283,1285],{"className":1284},[698],[573,1286,1288,1308],{"className":1287},[702,703],[573,1289,1291,1305],{"className":1290},[707],[573,1292,1294],{"className":1293,"style":712},[711],[573,1295,1296,1299],{"style":715},[573,1297],{"className":1298,"style":720},[719],[573,1300,1302],{"className":1301},[724,725,726,727],[573,1303,649],{"className":1304},[616,727],[573,1306,735],{"className":1307},[734],[573,1309,1311],{"className":1310},[707],[573,1312,1314],{"className":1313,"style":742},[711],[573,1315],{},[573,1317,665],{"className":1318},[812],". Vorgehen:",[1321,1322,1323,1412,1609],"ol",{},[1324,1325,1326,1411],"li",{},[573,1327,1329,1353],{"className":1328},[576],[573,1330,1332],{"className":1331},[580],[582,1333,1334],{"xmlns":584},[586,1335,1336,1350],{},[589,1337,1338,1340,1342,1348],{},[592,1339,594],{},[636,1341,639],{"stretchy":638},[641,1343,1344,1346],{},[592,1345,645],{},[647,1347,649],{},[636,1349,665],{"stretchy":638},[596,1351,1352],{"encoding":598},"f(x_0)",[573,1354,1356],{"className":1355,"ariaHidden":603},[602],[573,1357,1359,1362,1365,1368,1408],{"className":1358},[607],[573,1360],{"className":1361,"style":680},[611],[573,1363,594],{"className":1364,"style":618},[616,617],[573,1366,639],{"className":1367},[688],[573,1369,1371,1374],{"className":1370},[616],[573,1372,645],{"className":1373},[616,617],[573,1375,1377],{"className":1376},[698],[573,1378,1380,1400],{"className":1379},[702,703],[573,1381,1383,1397],{"className":1382},[707],[573,1384,1386],{"className":1385,"style":712},[711],[573,1387,1388,1391],{"style":715},[573,1389],{"className":1390,"style":720},[719],[573,1392,1394],{"className":1393},[724,725,726,727],[573,1395,649],{"className":1396},[616,727],[573,1398,735],{"className":1399},[734],[573,1401,1403],{"className":1402},[707],[573,1404,1406],{"className":1405,"style":742},[711],[573,1407],{},[573,1409,665],{"className":1410},[812]," berechnen.",[1324,1413,1414,1491,1492,1411],{},[573,1415,1417,1441],{"className":1416},[576],[573,1418,1420],{"className":1419},[580],[582,1421,1422],{"xmlns":584},[586,1423,1424,1438],{},[589,1425,1426,1432,1434,1436],{},[828,1427,1428,1430],{},[592,1429,594],{},[636,1431,836],{"mathvariant":834,"lspace":835,"rspace":835},[636,1433,639],{"stretchy":638},[592,1435,645],{},[636,1437,665],{"stretchy":638},[596,1439,1440],{"encoding":598},"f'(x)",[573,1442,1444],{"className":1443,"ariaHidden":603},[602],[573,1445,1447,1450,1482,1485,1488],{"className":1446},[607],[573,1448],{"className":1449,"style":859},[611],[573,1451,1453,1456],{"className":1452},[616],[573,1454,594],{"className":1455,"style":618},[616,617],[573,1457,1459],{"className":1458},[698],[573,1460,1462],{"className":1461},[702],[573,1463,1465],{"className":1464},[707],[573,1466,1468],{"className":1467,"style":878},[711],[573,1469,1470,1473],{"style":881},[573,1471],{"className":1472,"style":720},[719],[573,1474,1476],{"className":1475},[724,725,726,727],[573,1477,1479],{"className":1478},[616,727],[573,1480,836],{"className":1481},[616,727],[573,1483,639],{"className":1484},[688],[573,1486,645],{"className":1487},[616,617],[573,1489,665],{"className":1490},[812]," bilden und ",[573,1493,1495,1522],{"className":1494},[576],[573,1496,1498],{"className":1497},[580],[582,1499,1500],{"xmlns":584},[586,1501,1502,1520],{},[589,1503,1504,1510,1512,1518],{},[828,1505,1506,1508],{},[592,1507,594],{},[636,1509,836],{"mathvariant":834,"lspace":835,"rspace":835},[636,1511,639],{"stretchy":638},[641,1513,1514,1516],{},[592,1515,645],{},[647,1517,649],{},[636,1519,665],{"stretchy":638},[596,1521,849],{"encoding":598},[573,1523,1525],{"className":1524,"ariaHidden":603},[602],[573,1526,1528,1531,1563,1566,1606],{"className":1527},[607],[573,1529],{"className":1530,"style":859},[611],[573,1532,1534,1537],{"className":1533},[616],[573,1535,594],{"className":1536,"style":618},[616,617],[573,1538,1540],{"className":1539},[698],[573,1541,1543],{"className":1542},[702],[573,1544,1546],{"className":1545},[707],[573,1547,1549],{"className":1548,"style":878},[711],[573,1550,1551,1554],{"style":881},[573,1552],{"className":1553,"style":720},[719],[573,1555,1557],{"className":1556},[724,725,726,727],[573,1558,1560],{"className":1559},[616,727],[573,1561,836],{"className":1562},[616,727],[573,1564,639],{"className":1565},[688],[573,1567,1569,1572],{"className":1568},[616],[573,1570,645],{"className":1571},[616,617],[573,1573,1575],{"className":1574},[698],[573,1576,1578,1598],{"className":1577},[702,703],[573,1579,1581,1595],{"className":1580},[707],[573,1582,1584],{"className":1583,"style":712},[711],[573,1585,1586,1589],{"style":715},[573,1587],{"className":1588,"style":720},[719],[573,1590,1592],{"className":1591},[724,725,726,727],[573,1593,649],{"className":1594},[616,727],[573,1596,735],{"className":1597},[734],[573,1599,1601],{"className":1600},[707],[573,1602,1604],{"className":1603,"style":742},[711],[573,1605],{},[573,1607,665],{"className":1608},[812],[1324,1610,1611,1612,1699],{},"Beides einsetzen und bei Bedarf in die Form ",[573,1613,1615,1642],{"className":1614},[576],[573,1616,1618],{"className":1617},[580],[582,1619,1620],{"xmlns":584},[586,1621,1622,1639],{},[589,1623,1624,1627,1629,1631,1633,1636],{},[592,1625,1626],{},"y",[636,1628,1193],{},[592,1630,1190],{},[592,1632,645],{},[636,1634,1635],{},"+",[592,1637,1638],{},"b",[596,1640,1641],{"encoding":598},"y = mx + b",[573,1643,1645,1665,1689],{"className":1644,"ariaHidden":603},[602],[573,1646,1648,1652,1656,1659,1662],{"className":1647},[607],[573,1649],{"className":1650,"style":1651},[611],"height:0.625em;vertical-align:-0.1944em;",[573,1653,1626],{"className":1654,"style":1655},[616,617],"margin-right:0.0359em;",[573,1657],{"className":1658,"style":749},[748],[573,1660,1193],{"className":1661},[753],[573,1663],{"className":1664,"style":749},[748],[573,1666,1668,1672,1675,1678,1682,1686],{"className":1667},[607],[573,1669],{"className":1670,"style":1671},[611],"height:0.6667em;vertical-align:-0.0833em;",[573,1673,1190],{"className":1674},[616,617],[573,1676,645],{"className":1677},[616,617],[573,1679],{"className":1680,"style":1681},[748],"margin-right:0.2222em;",[573,1683,1635],{"className":1684},[1685],"mbin",[573,1687],{"className":1688,"style":1681},[748],[573,1690,1692,1696],{"className":1691},[607],[573,1693],{"className":1694,"style":1695},[611],"height:0.6944em;",[573,1697,1638],{"className":1698},[616,617]," bringen.",[564,1701,1702],{},"Weiter weg vom Berührpunkt darf die Tangente den Graphen durchaus noch einmal schneiden.",[559,1704,1706],{"id":1705},"beispiele","Beispiele",[564,1708,1709,1807,1808,1902,1903,1969,1970,1969,2074,2173],{},[573,1710,1712,1741],{"className":1711},[576],[573,1713,1715],{"className":1714},[580],[582,1716,1717],{"xmlns":584},[586,1718,1719,1738],{},[589,1720,1721,1723,1725,1727,1729,1731],{},[592,1722,594],{},[636,1724,639],{"stretchy":638},[592,1726,645],{},[636,1728,665],{"stretchy":638},[636,1730,1193],{},[828,1732,1733,1735],{},[592,1734,645],{},[647,1736,1737],{},"2",[596,1739,1740],{"encoding":598},"f(x) = x^2",[573,1742,1744,1771],{"className":1743,"ariaHidden":603},[602],[573,1745,1747,1750,1753,1756,1759,1762,1765,1768],{"className":1746},[607],[573,1748],{"className":1749,"style":680},[611],[573,1751,594],{"className":1752,"style":618},[616,617],[573,1754,639],{"className":1755},[688],[573,1757,645],{"className":1758},[616,617],[573,1760,665],{"className":1761},[812],[573,1763],{"className":1764,"style":749},[748],[573,1766,1193],{"className":1767},[753],[573,1769],{"className":1770,"style":749},[748],[573,1772,1774,1778],{"className":1773},[607],[573,1775],{"className":1776,"style":1777},[611],"height:0.8141em;",[573,1779,1781,1784],{"className":1780},[616],[573,1782,645],{"className":1783},[616,617],[573,1785,1787],{"className":1786},[698],[573,1788,1790],{"className":1789},[702],[573,1791,1793],{"className":1792},[707],[573,1794,1796],{"className":1795,"style":1777},[711],[573,1797,1798,1801],{"style":881},[573,1799],{"className":1800,"style":720},[719],[573,1802,1804],{"className":1803},[724,725,726,727],[573,1805,1737],{"className":1806},[616,727]," an der Stelle ",[573,1809,1811,1834],{"className":1810},[576],[573,1812,1814],{"className":1813},[580],[582,1815,1816],{"xmlns":584},[586,1817,1818,1831],{},[589,1819,1820,1826,1828],{},[641,1821,1822,1824],{},[592,1823,645],{},[647,1825,649],{},[636,1827,1193],{},[647,1829,1830],{},"1",[596,1832,1833],{"encoding":598},"x_0 = 1",[573,1835,1837,1892],{"className":1836,"ariaHidden":603},[602],[573,1838,1840,1843,1883,1886,1889],{"className":1839},[607],[573,1841],{"className":1842,"style":971},[611],[573,1844,1846,1849],{"className":1845},[616],[573,1847,645],{"className":1848},[616,617],[573,1850,1852],{"className":1851},[698],[573,1853,1855,1875],{"className":1854},[702,703],[573,1856,1858,1872],{"className":1857},[707],[573,1859,1861],{"className":1860,"style":712},[711],[573,1862,1863,1866],{"style":715},[573,1864],{"className":1865,"style":720},[719],[573,1867,1869],{"className":1868},[724,725,726,727],[573,1870,649],{"className":1871},[616,727],[573,1873,735],{"className":1874},[734],[573,1876,1878],{"className":1877},[707],[573,1879,1881],{"className":1880,"style":742},[711],[573,1882],{},[573,1884],{"className":1885,"style":749},[748],[573,1887,1193],{"className":1888},[753],[573,1890],{"className":1891,"style":749},[748],[573,1893,1895,1899],{"className":1894},[607],[573,1896],{"className":1897,"style":1898},[611],"height:0.6444em;",[573,1900,1830],{"className":1901},[616],": ",[573,1904,1906,1930],{"className":1905},[576],[573,1907,1909],{"className":1908},[580],[582,1910,1911],{"xmlns":584},[586,1912,1913,1927],{},[589,1914,1915,1917,1919,1921,1923,1925],{},[592,1916,594],{},[636,1918,639],{"stretchy":638},[647,1920,1830],{},[636,1922,665],{"stretchy":638},[636,1924,1193],{},[647,1926,1830],{},[596,1928,1929],{"encoding":598},"f(1) = 1",[573,1931,1933,1960],{"className":1932,"ariaHidden":603},[602],[573,1934,1936,1939,1942,1945,1948,1951,1954,1957],{"className":1935},[607],[573,1937],{"className":1938,"style":680},[611],[573,1940,594],{"className":1941,"style":618},[616,617],[573,1943,639],{"className":1944},[688],[573,1946,1830],{"className":1947},[616],[573,1949,665],{"className":1950},[812],[573,1952],{"className":1953,"style":749},[748],[573,1955,1193],{"className":1956},[753],[573,1958],{"className":1959,"style":749},[748],[573,1961,1963,1966],{"className":1962},[607],[573,1964],{"className":1965,"style":1898},[611],[573,1967,1830],{"className":1968},[616],", ",[573,1971,1973,2003],{"className":1972},[576],[573,1974,1976],{"className":1975},[580],[582,1977,1978],{"xmlns":584},[586,1979,1980,2000],{},[589,1981,1982,1988,1990,1992,1994,1996,1998],{},[828,1983,1984,1986],{},[592,1985,594],{},[636,1987,836],{"mathvariant":834,"lspace":835,"rspace":835},[636,1989,639],{"stretchy":638},[592,1991,645],{},[636,1993,665],{"stretchy":638},[636,1995,1193],{},[647,1997,1737],{},[592,1999,645],{},[596,2001,2002],{"encoding":598},"f'(x) = 2x",[573,2004,2006,2062],{"className":2005,"ariaHidden":603},[602],[573,2007,2009,2012,2044,2047,2050,2053,2056,2059],{"className":2008},[607],[573,2010],{"className":2011,"style":859},[611],[573,2013,2015,2018],{"className":2014},[616],[573,2016,594],{"className":2017,"style":618},[616,617],[573,2019,2021],{"className":2020},[698],[573,2022,2024],{"className":2023},[702],[573,2025,2027],{"className":2026},[707],[573,2028,2030],{"className":2029,"style":878},[711],[573,2031,2032,2035],{"style":881},[573,2033],{"className":2034,"style":720},[719],[573,2036,2038],{"className":2037},[724,725,726,727],[573,2039,2041],{"className":2040},[616,727],[573,2042,836],{"className":2043},[616,727],[573,2045,639],{"className":2046},[688],[573,2048,645],{"className":2049},[616,617],[573,2051,665],{"className":2052},[812],[573,2054],{"className":2055,"style":749},[748],[573,2057,1193],{"className":2058},[753],[573,2060],{"className":2061,"style":749},[748],[573,2063,2065,2068,2071],{"className":2064},[607],[573,2066],{"className":2067,"style":1898},[611],[573,2069,1737],{"className":2070},[616],[573,2072,645],{"className":2073},[616,617],[573,2075,2077,2105],{"className":2076},[576],[573,2078,2080],{"className":2079},[580],[582,2081,2082],{"xmlns":584},[586,2083,2084,2102],{},[589,2085,2086,2092,2094,2096,2098,2100],{},[828,2087,2088,2090],{},[592,2089,594],{},[636,2091,836],{"mathvariant":834,"lspace":835,"rspace":835},[636,2093,639],{"stretchy":638},[647,2095,1830],{},[636,2097,665],{"stretchy":638},[636,2099,1193],{},[647,2101,1737],{},[596,2103,2104],{"encoding":598},"f'(1) = 2",[573,2106,2108,2164],{"className":2107,"ariaHidden":603},[602],[573,2109,2111,2114,2146,2149,2152,2155,2158,2161],{"className":2110},[607],[573,2112],{"className":2113,"style":859},[611],[573,2115,2117,2120],{"className":2116},[616],[573,2118,594],{"className":2119,"style":618},[616,617],[573,2121,2123],{"className":2122},[698],[573,2124,2126],{"className":2125},[702],[573,2127,2129],{"className":2128},[707],[573,2130,2132],{"className":2131,"style":878},[711],[573,2133,2134,2137],{"style":881},[573,2135],{"className":2136,"style":720},[719],[573,2138,2140],{"className":2139},[724,725,726,727],[573,2141,2143],{"className":2142},[616,727],[573,2144,836],{"className":2145},[616,727],[573,2147,639],{"className":2148},[688],[573,2150,1830],{"className":2151},[616],[573,2153,665],{"className":2154},[812],[573,2156],{"className":2157,"style":749},[748],[573,2159,1193],{"className":2160},[753],[573,2162],{"className":2163,"style":749},[748],[573,2165,2167,2170],{"className":2166},[607],[573,2168],{"className":2169,"style":1898},[611],[573,2171,1737],{"className":2172},[616],".",[573,2175,2178],{"className":2176},[2177],"katex-display",[573,2179,2181,2235],{"className":2180},[576],[573,2182,2184],{"className":2183},[580],[582,2185,2187],{"xmlns":584,"display":2186},"block",[586,2188,2189,2232],{},[589,2190,2191,2194,2196,2198,2200,2202,2204,2207,2209,2211,2214,2216,2218,2220,2222,2224,2226,2228,2230],{},[592,2192,2193],{},"t",[636,2195,639],{"stretchy":638},[592,2197,645],{},[636,2199,665],{"stretchy":638},[636,2201,1193],{},[647,2203,1737],{},[636,2205,2206],{},"⋅",[636,2208,639],{"stretchy":638},[592,2210,645],{},[636,2212,2213],{},"−",[647,2215,1830],{},[636,2217,665],{"stretchy":638},[636,2219,1635],{},[647,2221,1830],{},[636,2223,1193],{},[647,2225,1737],{},[592,2227,645],{},[636,2229,2213],{},[647,2231,1830],{},[596,2233,2234],{"encoding":598},"t(x) = 2 \\cdot (x - 1) + 1 = 2x - 1",[573,2236,2238,2265,2283,2304,2325,2343,2365],{"className":2237,"ariaHidden":603},[602],[573,2239,2241,2244,2247,2250,2253,2256,2259,2262],{"className":2240},[607],[573,2242],{"className":2243,"style":680},[611],[573,2245,2193],{"className":2246},[616,617],[573,2248,639],{"className":2249},[688],[573,2251,645],{"className":2252},[616,617],[573,2254,665],{"className":2255},[812],[573,2257],{"className":2258,"style":749},[748],[573,2260,1193],{"className":2261},[753],[573,2263],{"className":2264,"style":749},[748],[573,2266,2268,2271,2274,2277,2280],{"className":2267},[607],[573,2269],{"className":2270,"style":1898},[611],[573,2272,1737],{"className":2273},[616],[573,2275],{"className":2276,"style":1681},[748],[573,2278,2206],{"className":2279},[1685],[573,2281],{"className":2282,"style":1681},[748],[573,2284,2286,2289,2292,2295,2298,2301],{"className":2285},[607],[573,2287],{"className":2288,"style":680},[611],[573,2290,639],{"className":2291},[688],[573,2293,645],{"className":2294},[616,617],[573,2296],{"className":2297,"style":1681},[748],[573,2299,2213],{"className":2300},[1685],[573,2302],{"className":2303,"style":1681},[748],[573,2305,2307,2310,2313,2316,2319,2322],{"className":2306},[607],[573,2308],{"className":2309,"style":680},[611],[573,2311,1830],{"className":2312},[616],[573,2314,665],{"className":2315},[812],[573,2317],{"className":2318,"style":1681},[748],[573,2320,1635],{"className":2321},[1685],[573,2323],{"className":2324,"style":1681},[748],[573,2326,2328,2331,2334,2337,2340],{"className":2327},[607],[573,2329],{"className":2330,"style":1898},[611],[573,2332,1830],{"className":2333},[616],[573,2335],{"className":2336,"style":749},[748],[573,2338,1193],{"className":2339},[753],[573,2341],{"className":2342,"style":749},[748],[573,2344,2346,2350,2353,2356,2359,2362],{"className":2345},[607],[573,2347],{"className":2348,"style":2349},[611],"height:0.7278em;vertical-align:-0.0833em;",[573,2351,1737],{"className":2352},[616],[573,2354,645],{"className":2355},[616,617],[573,2357],{"className":2358,"style":1681},[748],[573,2360,2213],{"className":2361},[1685],[573,2363],{"className":2364,"style":1681},[748],[573,2366,2368,2371],{"className":2367},[607],[573,2369],{"className":2370,"style":1898},[611],[573,2372,1830],{"className":2373},[616],[564,2375,2376,1807,2501,1902,2593,1969,2705,1969,2861,2173],{},[573,2377,2379,2414],{"className":2378},[576],[573,2380,2382],{"className":2381},[580],[582,2383,2384],{"xmlns":584},[586,2385,2386,2411],{},[589,2387,2388,2390,2392,2394,2396,2398,2405,2407,2409],{},[592,2389,594],{},[636,2391,639],{"stretchy":638},[592,2393,645],{},[636,2395,665],{"stretchy":638},[636,2397,1193],{},[828,2399,2400,2402],{},[592,2401,645],{},[647,2403,2404],{},"3",[636,2406,2213],{},[647,2408,1737],{},[592,2410,645],{},[596,2412,2413],{"encoding":598},"f(x) = x^3 - 2x",[573,2415,2417,2444,2489],{"className":2416,"ariaHidden":603},[602],[573,2418,2420,2423,2426,2429,2432,2435,2438,2441],{"className":2419},[607],[573,2421],{"className":2422,"style":680},[611],[573,2424,594],{"className":2425,"style":618},[616,617],[573,2427,639],{"className":2428},[688],[573,2430,645],{"className":2431},[616,617],[573,2433,665],{"className":2434},[812],[573,2436],{"className":2437,"style":749},[748],[573,2439,1193],{"className":2440},[753],[573,2442],{"className":2443,"style":749},[748],[573,2445,2447,2451,2480,2483,2486],{"className":2446},[607],[573,2448],{"className":2449,"style":2450},[611],"height:0.8974em;vertical-align:-0.0833em;",[573,2452,2454,2457],{"className":2453},[616],[573,2455,645],{"className":2456},[616,617],[573,2458,2460],{"className":2459},[698],[573,2461,2463],{"className":2462},[702],[573,2464,2466],{"className":2465},[707],[573,2467,2469],{"className":2468,"style":1777},[711],[573,2470,2471,2474],{"style":881},[573,2472],{"className":2473,"style":720},[719],[573,2475,2477],{"className":2476},[724,725,726,727],[573,2478,2404],{"className":2479},[616,727],[573,2481],{"className":2482,"style":1681},[748],[573,2484,2213],{"className":2485},[1685],[573,2487],{"className":2488,"style":1681},[748],[573,2490,2492,2495,2498],{"className":2491},[607],[573,2493],{"className":2494,"style":1898},[611],[573,2496,1737],{"className":2497},[616],[573,2499,645],{"className":2500},[616,617],[573,2502,2504,2526],{"className":2503},[576],[573,2505,2507],{"className":2506},[580],[582,2508,2509],{"xmlns":584},[586,2510,2511,2523],{},[589,2512,2513,2519,2521],{},[641,2514,2515,2517],{},[592,2516,645],{},[647,2518,649],{},[636,2520,1193],{},[647,2522,1737],{},[596,2524,2525],{"encoding":598},"x_0 = 2",[573,2527,2529,2584],{"className":2528,"ariaHidden":603},[602],[573,2530,2532,2535,2575,2578,2581],{"className":2531},[607],[573,2533],{"className":2534,"style":971},[611],[573,2536,2538,2541],{"className":2537},[616],[573,2539,645],{"className":2540},[616,617],[573,2542,2544],{"className":2543},[698],[573,2545,2547,2567],{"className":2546},[702,703],[573,2548,2550,2564],{"className":2549},[707],[573,2551,2553],{"className":2552,"style":712},[711],[573,2554,2555,2558],{"style":715},[573,2556],{"className":2557,"style":720},[719],[573,2559,2561],{"className":2560},[724,725,726,727],[573,2562,649],{"className":2563},[616,727],[573,2565,735],{"className":2566},[734],[573,2568,2570],{"className":2569},[707],[573,2571,2573],{"className":2572,"style":742},[711],[573,2574],{},[573,2576],{"className":2577,"style":749},[748],[573,2579,1193],{"className":2580},[753],[573,2582],{"className":2583,"style":749},[748],[573,2585,2587,2590],{"className":2586},[607],[573,2588],{"className":2589,"style":1898},[611],[573,2591,1737],{"className":2592},[616],[573,2594,2596,2630],{"className":2595},[576],[573,2597,2599],{"className":2598},[580],[582,2600,2601],{"xmlns":584},[586,2602,2603,2627],{},[589,2604,2605,2607,2609,2611,2613,2615,2618,2620,2623,2625],{},[592,2606,594],{},[636,2608,639],{"stretchy":638},[647,2610,1737],{},[636,2612,665],{"stretchy":638},[636,2614,1193],{},[647,2616,2617],{},"8",[636,2619,2213],{},[647,2621,2622],{},"4",[636,2624,1193],{},[647,2626,2622],{},[596,2628,2629],{"encoding":598},"f(2) = 8 - 4 = 4",[573,2631,2633,2660,2678,2696],{"className":2632,"ariaHidden":603},[602],[573,2634,2636,2639,2642,2645,2648,2651,2654,2657],{"className":2635},[607],[573,2637],{"className":2638,"style":680},[611],[573,2640,594],{"className":2641,"style":618},[616,617],[573,2643,639],{"className":2644},[688],[573,2646,1737],{"className":2647},[616],[573,2649,665],{"className":2650},[812],[573,2652],{"className":2653,"style":749},[748],[573,2655,1193],{"className":2656},[753],[573,2658],{"className":2659,"style":749},[748],[573,2661,2663,2666,2669,2672,2675],{"className":2662},[607],[573,2664],{"className":2665,"style":2349},[611],[573,2667,2617],{"className":2668},[616],[573,2670],{"className":2671,"style":1681},[748],[573,2673,2213],{"className":2674},[1685],[573,2676],{"className":2677,"style":1681},[748],[573,2679,2681,2684,2687,2690,2693],{"className":2680},[607],[573,2682],{"className":2683,"style":1898},[611],[573,2685,2622],{"className":2686},[616],[573,2688],{"className":2689,"style":749},[748],[573,2691,1193],{"className":2692},[753],[573,2694],{"className":2695,"style":749},[748],[573,2697,2699,2702],{"className":2698},[607],[573,2700],{"className":2701,"style":1898},[611],[573,2703,2622],{"className":2704},[616],[573,2706,2708,2746],{"className":2707},[576],[573,2709,2711],{"className":2710},[580],[582,2712,2713],{"xmlns":584},[586,2714,2715,2743],{},[589,2716,2717,2723,2725,2727,2729,2731,2733,2739,2741],{},[828,2718,2719,2721],{},[592,2720,594],{},[636,2722,836],{"mathvariant":834,"lspace":835,"rspace":835},[636,2724,639],{"stretchy":638},[592,2726,645],{},[636,2728,665],{"stretchy":638},[636,2730,1193],{},[647,2732,2404],{},[828,2734,2735,2737],{},[592,2736,645],{},[647,2738,1737],{},[636,2740,2213],{},[647,2742,1737],{},[596,2744,2745],{"encoding":598},"f'(x) = 3x^2 - 2",[573,2747,2749,2805,2852],{"className":2748,"ariaHidden":603},[602],[573,2750,2752,2755,2787,2790,2793,2796,2799,2802],{"className":2751},[607],[573,2753],{"className":2754,"style":859},[611],[573,2756,2758,2761],{"className":2757},[616],[573,2759,594],{"className":2760,"style":618},[616,617],[573,2762,2764],{"className":2763},[698],[573,2765,2767],{"className":2766},[702],[573,2768,2770],{"className":2769},[707],[573,2771,2773],{"className":2772,"style":878},[711],[573,2774,2775,2778],{"style":881},[573,2776],{"className":2777,"style":720},[719],[573,2779,2781],{"className":2780},[724,725,726,727],[573,2782,2784],{"className":2783},[616,727],[573,2785,836],{"className":2786},[616,727],[573,2788,639],{"className":2789},[688],[573,2791,645],{"className":2792},[616,617],[573,2794,665],{"className":2795},[812],[573,2797],{"className":2798,"style":749},[748],[573,2800,1193],{"className":2801},[753],[573,2803],{"className":2804,"style":749},[748],[573,2806,2808,2811,2814,2843,2846,2849],{"className":2807},[607],[573,2809],{"className":2810,"style":2450},[611],[573,2812,2404],{"className":2813},[616],[573,2815,2817,2820],{"className":2816},[616],[573,2818,645],{"className":2819},[616,617],[573,2821,2823],{"className":2822},[698],[573,2824,2826],{"className":2825},[702],[573,2827,2829],{"className":2828},[707],[573,2830,2832],{"className":2831,"style":1777},[711],[573,2833,2834,2837],{"style":881},[573,2835],{"className":2836,"style":720},[719],[573,2838,2840],{"className":2839},[724,725,726,727],[573,2841,1737],{"className":2842},[616,727],[573,2844],{"className":2845,"style":1681},[748],[573,2847,2213],{"className":2848},[1685],[573,2850],{"className":2851,"style":1681},[748],[573,2853,2855,2858],{"className":2854},[607],[573,2856],{"className":2857,"style":1898},[611],[573,2859,1737],{"className":2860},[616],[573,2862,2864,2893],{"className":2863},[576],[573,2865,2867],{"className":2866},[580],[582,2868,2869],{"xmlns":584},[586,2870,2871,2890],{},[589,2872,2873,2879,2881,2883,2885,2887],{},[828,2874,2875,2877],{},[592,2876,594],{},[636,2878,836],{"mathvariant":834,"lspace":835,"rspace":835},[636,2880,639],{"stretchy":638},[647,2882,1737],{},[636,2884,665],{"stretchy":638},[636,2886,1193],{},[647,2888,2889],{},"10",[596,2891,2892],{"encoding":598},"f'(2) = 10",[573,2894,2896,2952],{"className":2895,"ariaHidden":603},[602],[573,2897,2899,2902,2934,2937,2940,2943,2946,2949],{"className":2898},[607],[573,2900],{"className":2901,"style":859},[611],[573,2903,2905,2908],{"className":2904},[616],[573,2906,594],{"className":2907,"style":618},[616,617],[573,2909,2911],{"className":2910},[698],[573,2912,2914],{"className":2913},[702],[573,2915,2917],{"className":2916},[707],[573,2918,2920],{"className":2919,"style":878},[711],[573,2921,2922,2925],{"style":881},[573,2923],{"className":2924,"style":720},[719],[573,2926,2928],{"className":2927},[724,725,726,727],[573,2929,2931],{"className":2930},[616,727],[573,2932,836],{"className":2933},[616,727],[573,2935,639],{"className":2936},[688],[573,2938,1737],{"className":2939},[616],[573,2941,665],{"className":2942},[812],[573,2944],{"className":2945,"style":749},[748],[573,2947,1193],{"className":2948},[753],[573,2950],{"className":2951,"style":749},[748],[573,2953,2955,2958],{"className":2954},[607],[573,2956],{"className":2957,"style":1898},[611],[573,2959,2889],{"className":2960},[616],[573,2962,2964],{"className":2963},[2177],[573,2965,2967,3018],{"className":2966},[576],[573,2968,2970],{"className":2969},[580],[582,2971,2972],{"xmlns":584,"display":2186},[586,2973,2974,3015],{},[589,2975,2976,2978,2980,2982,2984,2986,2988,2990,2992,2994,2996,2998,3000,3002,3004,3006,3008,3010,3012],{},[592,2977,2193],{},[636,2979,639],{"stretchy":638},[592,2981,645],{},[636,2983,665],{"stretchy":638},[636,2985,1193],{},[647,2987,2889],{},[636,2989,2206],{},[636,2991,639],{"stretchy":638},[592,2993,645],{},[636,2995,2213],{},[647,2997,1737],{},[636,2999,665],{"stretchy":638},[636,3001,1635],{},[647,3003,2622],{},[636,3005,1193],{},[647,3007,2889],{},[592,3009,645],{},[636,3011,2213],{},[647,3013,3014],{},"16",[596,3016,3017],{"encoding":598},"t(x) = 10 \\cdot (x - 2) + 4 = 10x - 16",[573,3019,3021,3048,3066,3087,3108,3126,3147],{"className":3020,"ariaHidden":603},[602],[573,3022,3024,3027,3030,3033,3036,3039,3042,3045],{"className":3023},[607],[573,3025],{"className":3026,"style":680},[611],[573,3028,2193],{"className":3029},[616,617],[573,3031,639],{"className":3032},[688],[573,3034,645],{"className":3035},[616,617],[573,3037,665],{"className":3038},[812],[573,3040],{"className":3041,"style":749},[748],[573,3043,1193],{"className":3044},[753],[573,3046],{"className":3047,"style":749},[748],[573,3049,3051,3054,3057,3060,3063],{"className":3050},[607],[573,3052],{"className":3053,"style":1898},[611],[573,3055,2889],{"className":3056},[616],[573,3058],{"className":3059,"style":1681},[748],[573,3061,2206],{"className":3062},[1685],[573,3064],{"className":3065,"style":1681},[748],[573,3067,3069,3072,3075,3078,3081,3084],{"className":3068},[607],[573,3070],{"className":3071,"style":680},[611],[573,3073,639],{"className":3074},[688],[573,3076,645],{"className":3077},[616,617],[573,3079],{"className":3080,"style":1681},[748],[573,3082,2213],{"className":3083},[1685],[573,3085],{"className":3086,"style":1681},[748],[573,3088,3090,3093,3096,3099,3102,3105],{"className":3089},[607],[573,3091],{"className":3092,"style":680},[611],[573,3094,1737],{"className":3095},[616],[573,3097,665],{"className":3098},[812],[573,3100],{"className":3101,"style":1681},[748],[573,3103,1635],{"className":3104},[1685],[573,3106],{"className":3107,"style":1681},[748],[573,3109,3111,3114,3117,3120,3123],{"className":3110},[607],[573,3112],{"className":3113,"style":1898},[611],[573,3115,2622],{"className":3116},[616],[573,3118],{"className":3119,"style":749},[748],[573,3121,1193],{"className":3122},[753],[573,3124],{"className":3125,"style":749},[748],[573,3127,3129,3132,3135,3138,3141,3144],{"className":3128},[607],[573,3130],{"className":3131,"style":2349},[611],[573,3133,2889],{"className":3134},[616],[573,3136,645],{"className":3137},[616,617],[573,3139],{"className":3140,"style":1681},[748],[573,3142,2213],{"className":3143},[1685],[573,3145],{"className":3146,"style":1681},[748],[573,3148,3150,3153],{"className":3149},[607],[573,3151],{"className":3152,"style":1898},[611],[573,3154,3014],{"className":3155},[616],[559,3157,3159],{"id":3158},"typische-fehler","Typische 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Die Steigung muss eine Zahl sein, sonst ist das Ergebnis keine Gerade.",[1324,3361,3362,3446,3447,3564],{},[573,3363,3365,3388],{"className":3364},[576],[573,3366,3368],{"className":3367},[580],[582,3369,3370],{"xmlns":584},[586,3371,3372,3386],{},[589,3373,3374,3376,3378,3384],{},[592,3375,594],{},[636,3377,639],{"stretchy":638},[641,3379,3380,3382],{},[592,3381,645],{},[647,3383,649],{},[636,3385,665],{"stretchy":638},[596,3387,1352],{"encoding":598},[573,3389,3391],{"className":3390,"ariaHidden":603},[602],[573,3392,3394,3397,3400,3403,3443],{"className":3393},[607],[573,3395],{"className":3396,"style":680},[611],[573,3398,594],{"className":3399,"style":618},[616,617],[573,3401,639],{"className":3402},[688],[573,3404,3406,3409],{"className":3405},[616],[573,3407,645],{"className":3408},[616,617],[573,3410,3412],{"className":3411},[698],[573,3413,3415,3435],{"className":3414},[702,703],[573,3416,3418,3432],{"className":3417},[707],[573,3419,3421],{"className":3420,"style":712},[711],[573,3422,3423,3426],{"style":715},[573,3424],{"className":3425,"style":720},[719],[573,3427,3429],{"className":3428},[724,725,726,727],[573,3430,649],{"className":3431},[616,727],[573,3433,735],{"className":3434},[734],[573,3436,3438],{"className":3437},[707],[573,3439,3441],{"className":3440,"style":742},[711],[573,3442],{},[573,3444,665],{"className":3445},[812]," und ",[573,3448,3450,3477],{"className":3449},[576],[573,3451,3453],{"className":3452},[580],[582,3454,3455],{"xmlns":584},[586,3456,3457,3475],{},[589,3458,3459,3465,3467,3473],{},[828,3460,3461,3463],{},[592,3462,594],{},[636,3464,836],{"mathvariant":834,"lspace":835,"rspace":835},[636,3466,639],{"stretchy":638},[641,3468,3469,3471],{},[592,3470,645],{},[647,3472,649],{},[636,3474,665],{"stretchy":638},[596,3476,849],{"encoding":598},[573,3478,3480],{"className":3479,"ariaHidden":603},[602],[573,3481,3483,3486,3518,3521,3561],{"className":3482},[607],[573,3484],{"className":3485,"style":859},[611],[573,3487,3489,3492],{"className":3488},[616],[573,3490,594],{"className":3491,"style":618},[616,617],[573,3493,3495],{"className":3494},[698],[573,3496,3498],{"className":3497},[702],[573,3499,3501],{"className":3500},[707],[573,3502,3504],{"className":3503,"style":878},[711],[573,3505,3506,3509],{"style":881},[573,3507],{"className":3508,"style":720},[719],[573,3510,3512],{"className":3511},[724,725,726,727],[573,3513,3515],{"className":3514},[616,727],[573,3516,836],{"className":3517},[616,727],[573,3519,639],{"className":3520},[688],[573,3522,3524,3527],{"className":3523},[616],[573,3525,645],{"className":3526},[616,617],[573,3528,3530],{"className":3529},[698],[573,3531,3533,3553],{"className":3532},[702,703],[573,3534,3536,3550],{"className":3535},[707],[573,3537,3539],{"className":3538,"style":712},[711],[573,3540,3541,3544],{"style":715},[573,3542],{"className":3543,"style":720},[719],[573,3545,3547],{"className":3546},[724,725,726,727],[573,3548,649],{"className":3549},[616,727],[573,3551,735],{"className":3552},[734],[573,3554,3556],{"className":3555},[707],[573,3557,3559],{"className":3558,"style":742},[711],[573,3560],{},[573,3562,665],{"className":3563},[812]," vertauschen.",[1324,3566,3567,3568,3670,3671,3768,3769,2173],{},"Das Vorzeichen in ",[573,3569,3571,3597],{"className":3570},[576],[573,3572,3574],{"className":3573},[580],[582,3575,3576],{"xmlns":584},[586,3577,3578,3594],{},[589,3579,3580,3582,3584,3586,3592],{},[636,3581,639],{"stretchy":638},[592,3583,645],{},[636,3585,2213],{},[641,3587,3588,3590],{},[592,3589,645],{},[647,3591,649],{},[636,3593,665],{"stretchy":638},[596,3595,3596],{"encoding":598},"(x - x_0)",[573,3598,3600,3621],{"className":3599,"ariaHidden":603},[602],[573,3601,3603,3606,3609,3612,3615,3618],{"className":3602},[607],[573,3604],{"className":3605,"style":680},[611],[573,3607,639],{"className":3608},[688],[573,3610,645],{"className":3611},[616,617],[573,3613],{"className":3614,"style":1681},[748],[573,3616,2213],{"className":3617},[1685],[573,3619],{"className":3620,"style":1681},[748],[573,3622,3624,3627,3667],{"className":3623},[607],[573,3625],{"className":3626,"style":680},[611],[573,3628,3630,3633],{"className":3629},[616],[573,3631,645],{"className":3632},[616,617],[573,3634,3636],{"className":3635},[698],[573,3637,3639,3659],{"className":3638},[702,703],[573,3640,3642,3656],{"className":3641},[707],[573,3643,3645],{"className":3644,"style":712},[711],[573,3646,3647,3650],{"style":715},[573,3648],{"className":3649,"style":720},[719],[573,3651,3653],{"className":3652},[724,725,726,727],[573,3654,649],{"className":3655},[616,727],[573,3657,735],{"className":3658},[734],[573,3660,3662],{"className":3661},[707],[573,3663,3665],{"className":3664,"style":742},[711],[573,3666],{},[573,3668,665],{"className":3669},[812]," falsch setzen. 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