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Beliebt Rechnen >

derivative sqrt(1-x^{12)}

Lösung

ableitung von

1 - x^{12}

Lösung

- \frac{6 x ^{11}}{1 - x ^{12}}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 1 - x ^{12}} \frac{d}{d x} (1 - x^{12})

= \frac{1}{2 1 - x ^{12}} \frac{d}{d x} (1 - x^{12})

\frac{d}{d x} (1 - x^{12}) = - 12 x^{11}

= \frac{1}{2 1 - x ^{12}} (- 12 x^{11})

Vereinfache

\frac{1}{2 1 - x ^{12}} (- 12 x^{11}) : - \frac{6 x ^{11}}{1 - x ^{12}}

= - \frac{6 x ^{11}}{1 - x ^{12}}

Graph

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