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Beliebt Rechnen >

derivative y=sqrt(13-x^9)

Lösung

ableitung von

y = 13 - x^{9}

Lösung

- \frac{9 x ^{8}}{2 13 - x ^{9}}

Schritte zur Lösung

\frac{d}{d x} (13 - x^{9})

Wende die Kettenregel an:

\frac{1}{2 13 - x ^{9}} \frac{d}{d x} (13 - x^{9})

= \frac{1}{2 13 - x ^{9}} \frac{d}{d x} (13 - x^{9})

\frac{d}{d x} (13 - x^{9}) = - 9 x^{8}

= \frac{1}{2 13 - x ^{9}} (- 9 x^{8})

Vereinfache

\frac{1}{2 13 - x ^{9}} (- 9 x^{8}) : - \frac{9 x ^{8}}{2 13 - x ^{9}}

= - \frac{9 x ^{8}}{2 13 - x ^{9}}

Graph

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