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Beliebt Rechnen >

derivative of 1/(x^{12})

Lösung

\frac{d}{d x} (\frac{1}{x ^{12}})

Lösung

- \frac{12}{x ^{13}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x ^{12}})

Wende Exponentenregel an:

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

= \frac{d}{d x} (x^{- 12})

Wende die Potenzregel an:

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

= - 12 x^{- 12 - 1}

Vereinfache

- 12 x^{- 12 - 1} : - \frac{12}{x ^{13}}

= - \frac{12}{x ^{13}}

Graph

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