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Beliebt Rechnen >

derivative of sqrt(9-x^8)

Lösung

\frac{d}{d x} (9 - x^{8})

Lösung

- \frac{4 x ^{7}}{9 - x ^{8}}

Schritte zur Lösung

\frac{d}{d x} (9 - x^{8})

Wende die Kettenregel an:

\frac{1}{2 9 - x ^{8}} \frac{d}{d x} (9 - x^{8})

= \frac{1}{2 9 - x ^{8}} \frac{d}{d x} (9 - x^{8})

\frac{d}{d x} (9 - x^{8}) = - 8 x^{7}

= \frac{1}{2 9 - x ^{8}} (- 8 x^{7})

Vereinfache

\frac{1}{2 9 - x ^{8}} (- 8 x^{7}) : - \frac{4 x ^{7}}{9 - x ^{8}}

= - \frac{4 x ^{7}}{9 - x ^{8}}

Graph

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