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Beliebt Rechnen >

derivative of (1-x^2^5)

Lösung

\frac{d}{d x} ((1 - x^{2})^{5})

Lösung

- 10 x (1 - x^{2})^{4}

Schritte zur Lösung

\frac{d}{d x} ((1 - x^{2})^{5})

Wende die Kettenregel an:

5 (1 - x^{2})^{4} \frac{d}{d x} (1 - x^{2})

= 5 (1 - x^{2})^{4} \frac{d}{d x} (1 - x^{2})

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

= 5 (1 - x^{2})^{4} (- 2 x)

Vereinfache

= - 10 x (1 - x^{2})^{4}

Graph

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