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Beliebt Rechnen >

derivative (4-x^2)^5

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

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