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Beliebt Rechnen >

derivative of (2x^{-1}^2)

Lösung

\frac{d}{d x} ((2 x^{- 1})^{2})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} ((2 x^{- 1})^{2})

Wende die Kettenregel an:

2 \cdot 2 x^{- 1} \frac{d}{d x} (2 x^{- 1})

= 2 \cdot 2 x^{- 1} \frac{d}{d x} (2 x^{- 1})

\frac{d}{d x} (2 x^{- 1}) = - \frac{2}{x ^{2}}

= 2 \cdot 2 x^{- 1} (- \frac{2}{x ^{2}})

Vereinfache

2 \cdot 2 x^{- 1} (- \frac{2}{x ^{2}}) : - \frac{8}{x ^{3}}

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

Graph

Beliebte Beispiele

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