maclaurin x^4

Lösung

maclaurin

x^{4}

x^{4}

Schritte zur Lösung

Apply the Maclaurin Formula

= 0 + \frac{\frac{d}{d x} ( x ^{4} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( x ^{4} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( x ^{4} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 0 + \frac{0}{1 !} x + \frac{0}{2 !} x^{2} + \frac{0}{3 !} x^{3} + \frac{24}{4 !} x^{4} + \frac{0}{5 !} x^{5} + \frac{0}{6 !} x^{6} + \frac{0}{7 !} x^{7} + \frac{0}{8 !} x^{8} + \frac{0}{9 !} x^{9} + \frac{0}{10 !} x^{10}

Fasse zusammen

= x^{4}

a re a v (t) = t - 13, [0, 3]

a re a 2 x^{3} + 10 x^{2} + 22 x - 3, x^{3} - x^{2} - 6 x - 3, - 2, - 2

\frac{d}{d x} (\frac{2}{( 1 + x ) ^{3}})

t an g e n t y = x^{2} + x, (1, 2)

a re a x^{2} + 12 x, 3 x^{2} + 10, 1, 4