StartVi starter p\303\245 nyttLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2KFEocmVzdGFydEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lK2ZvcmVncm91bmRHUSpbMjU1LDAsMF1GJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRictSSNtb0dGJDYwUSI7RidGL0Y0L0Y4RjxGOi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4yNzc3Nzc4ZW1GJw==Vi lader inn kommandopakkeneQyQtSSV3aXRoRzYiNiNJJnBsb3RzRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlIiIiprint(); # input placeholderQyQtSSV3aXRoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMmSShTdHVkZW50R0YnNiNJL1ZlY3RvckNhbGN1bHVzR0YlIiIiprint(); # input placeholderQyQtSSV3aXRoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMmSShTdHVkZW50R0YnNiNJNU11bHRpdmFyaWF0ZUNhbGN1bHVzR0YoIiIiprint(); # input placeholderQyQtSSV3aXRoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMmSShTdHVkZW50R0YnNiNJL1ZlY3RvckNhbGN1bHVzR0YlIiIiprint(); # input placeholderTaylors formelVi jobber med denne funksjonen (p\303\245 undervisningen jeg har tegnet sin(2x)-cos(y) med maple n\303\245r vi har sett p\303\245 annenderiverttesten)QyQ+SSJmRzYiZio2JEkieEdGJUkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYtSSRjb3NHRiU2IywkOSQiIiMiIiItSSRzaW5HRiU2IzklISIiRiVGJUYlRjQ=print(); # input placeholderGradienten til f erLUkpR3JhZGllbnRHNiI2Iy1JImZHRiQ2JEkieEdGJEkieUdGJA==print(); # input placeholderVi finner de kritiske punktene: l\303\270s Grad f = 0LUkmc29sdmVHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JS1JKGNvbnZlcnRHRiU2JC1JKUdyYWRpZW50R0YnNiMtSSJmR0YnNiRJInhHRidJInlHRidJJWxpc3RHRiU8JEYyRjNJLWFsbHNvbHV0aW9uc0dGJw==print(); # input placeholderVi ser at det fins uendelig mange kritiske punkter og de er gitt i denne formen: (1/2 \317\200 * K , 1/2 \317\200 + L * \317\200), hvor K og L er helltallVi velger 3 forskjellige punkter fra listen og ber MAPLE til \303\245 gj\303\270re annenderiverttestenLUk1U2Vjb25kRGVyaXZhdGl2ZVRlc3RHNiI2JC1JImZHRiQ2JEkieEdGJEkieUdGJC83JEYpRio3JTckLUkiKkc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHRiRJL1ZlY3RvckNhbGN1bHVzRzYlRjJGMi9GNEkoU3R1ZGVudEdJKF9zeXNsaWJHRiQ2JEkjUGlHRjIjIiIiIiIjRi83JEYvLUYwNiQtRjA2JCIiJEY7Rjw3JCIiIUZAprint(); # input placeholderFinn disse punktene p\303\245 grafen!LUkncGxvdDNkRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNictSSJmR0YnNiRJInhHRidJInlHRicvRiw7IiIhIiInL0YtOyEiIkYxL0klYXhlc0dGJ0kmYm94ZWRHRicvSSZzdHlsZUdGJ0ktcGF0Y2hjb250b3VyR0Yn%;Den kvadratiske approksimasjonen til f n\303\246r (0,0) (bruk Degree = 2)QyQtSTlUYXlsb3JBcHByb3hpbWF0aW9uVHV0b3JHNiI2Ji1JIitHNiQlKnByb3RlY3RlZEcvSSttb2R1bGVuYW1lR0YlSS9WZWN0b3JDYWxjdWx1c0c2JUYqRiovRixJKFN0dWRlbnRHSShfc3lzbGliR0YlNiQtSSRjb3NHNiRGKkYxNiMtSSIqR0YpNiQiIiNJInhHRiUtSSItR0YpNiMtSSRzaW5HRjU2I0kieUdGJS83JEY7RkI3JCIiIUZGRjovSSV2aWV3R0YlNyU7ISIjRjpGSkZKIiIi%;QyQtSTRUYXlsb3JBcHByb3hpbWF0aW9uRzYiNiktSSIrRzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUdGJUkvVmVjdG9yQ2FsY3VsdXNHNiVGKkYqL0YsSShTdHVkZW50R0koX3N5c2xpYkdGJTYkLUkkY29zRzYkRipGMTYjLUkiKkdGKTYkIiIjSSJ4R0YlLUkiLUdGKTYjLUkkc2luR0Y1NiNJInlHRiUvNyRGO0ZCNyQiIiFGRkY6L0kldmlld0dGJTclOyEiI0Y6RkpGSi9JJ291dHB1dEdGJUklcGxvdEdGNS9JJWF4ZXNHRiVJJmJveGVkR0YlL0koc2NhbGluZ0dGJUkudW5jb25zdHJhaW5lZEdGJSIiIg==%;Approksimasjoner for f n\303\246r (0,0): order 1 (line\303\246r), order 2 (kvadratisk), order 3, ..., order 10Legg merke til at den blir bedre og bedre (detter en animasjon)QyQtSTRUYXlsb3JBcHByb3hpbWF0aW9uRzYiNiotSSIrRzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUdGJUkvVmVjdG9yQ2FsY3VsdXNHNiVGKkYqL0YsSShTdHVkZW50R0koX3N5c2xpYkdGJTYkLUkkY29zRzYkRipGMTYjLUkiKkdGKTYkIiIjSSJ4R0YlLUkiLUdGKTYjLUkkc2luR0Y1NiNJInlHRiUvNyRGO0ZCNyQiIiFGRiIjNS9JJXZpZXdHRiU3JTshIiQiIiRGS0ZLL0knb3V0cHV0R0YlSSphbmltYXRpb25HRiUvSSVheGVzR0YlSSZib3hlZEdGJS9JKHNjYWxpbmdHRiVJLnVuY29uc3RyYWluZWRHRiUvSShjYXB0aW9uR0YlUSFGJSIiIg==%;JSFHJSFHTTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2NzQ0MDgwMjIwNjQ3NTQyWColKWFueXRoaW5nRzYiNiQlLHZlY3RvcmZpZWxkRy8lJ2Nvb3Jkc0cmJSpjYXJ0ZXNpYW5HNiQlInhHJSJ5R1tnbCEjJSEhISIjIiMsJC1JJHNpbkc2JCUqcHJvdGVjdGVkRyUoX3N5c2xpYkc2IywkRi0iIiMhIiMsJC1JJGNvc0c2JEYzRjQ2I0YuISIiRiU=