derivative of x^{-3}+1/(x^7)

Lösung

\frac{d}{d x} (x^{- 3} + \frac{1}{x ^{7}})

- \frac{3}{x ^{4}} - \frac{7}{x ^{8}}

Schritte zur Lösung

\frac{d}{d x} (x^{- 3} + \frac{1}{x ^{7}})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{- 3}) + \frac{d}{d x} (\frac{1}{x ^{7}})

\frac{d}{d x} (x^{- 3}) = - \frac{3}{x ^{4}}

\frac{d}{d x} (\frac{1}{x ^{7}}) = - \frac{7}{x ^{8}}

= - \frac{3}{x ^{4}} - \frac{7}{x ^{8}}

\int \frac{x + 1}{2 x - x ^{2}} d x

\frac{d}{d x} (\frac{- x ^{2}}{y ^{2}})

d er i v a t i v e f (x) = \frac{x ^{2}}{2} \cdot cos^{3} (\frac{1}{x})

n = 2 \sum \infty 3 (\frac{x}{4})^{n}

\int x^{2} \cdot e^{x} d x