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Beliebt Rechnen >

(\partial)/(\partial x)(1/(x^7))

Lösung

\frac{\partial}{\partial x} (\frac{1}{x ^{7}})

Lösung

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

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{1}{x ^{7}})

Wende Exponentenregel an:

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

= \frac{\partial}{\partial x} (x^{- 7})

Wende die Potenzregel an:

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

= - 7 x^{- 7 - 1}

Vereinfache

- 7 x^{- 7 - 1} : - \frac{7}{x ^{8}}

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

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