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Beliebt Rechnen >

derivative y= 1/(x^8)

Lösung

ableitung von

y = \frac{1}{x ^{8}}

Lösung

- \frac{8}{x ^{9}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x ^{8}})

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - 8 x^{- 8 - 1}

Vereinfache

- 8 x^{- 8 - 1} : - \frac{8}{x ^{9}}

= - \frac{8}{x ^{9}}

Graph

Beliebte Beispiele

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e x p an d (x^{2} - 3 x + 2) (2 x^{3} + 1)

integral from 1 to 2 of 3/x+5/(x^2)

\int_{1}^{2} \frac{3}{x} + \frac{5}{x ^{2}} d x

limit as x approaches infinity of (log_{2}(x))^2

x \to \infty lim ((lo g_{2} (x))^{2})