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Beliebt Rechnen >

derivative of (90/(x^9))

Lösung

\frac{d}{d x} (\frac{90}{x ^{9}})

Lösung

- \frac{810}{x ^{10}}

Schritte zur Lösung

\frac{d}{d x} (\frac{90}{x ^{9}})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 90 \frac{d}{d x} (\frac{1}{x ^{9}})

Wende Exponentenregel an:

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

= 90 \frac{d}{d x} (x^{- 9})

Wende die Potenzregel an:

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

= 90 (- 9 x^{- 9 - 1})

Vereinfache

90 (- 9 x^{- 9 - 1}) : - \frac{810}{x ^{10}}

= - \frac{810}{x ^{10}}

Graph

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