taylor-(x)^21

Lösung

taylor

- (x)^{2} 1

- x^{2}

Schritte zur Lösung

Apply the Taylor Formula

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

Evaluate Derivatives

= 0 + \frac{0}{1 !} x + \frac{- 2}{2 !} x^{2} + \frac{0}{3 !} x^{3} + \frac{0}{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^{2}

\frac{d}{d t} (- e^{3 t})

\int 6 x^{2} cos (x) d x

t an g e n t f (x) = x^{3} - 3 x + 2, at x = 2

\frac{\partial}{\partial y} (2 e^{2 z} x y - 2 y)

t a y l or \frac{1}{x ^{3}}