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Beliebt Rechnen >

derivative of (x^2+4^5)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 5 (x^{2} + 4)^{4} \cdot 2 x

Vereinfache

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

Graph

Beliebte Beispiele

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\int_{0}^{\frac{π}{4}} sin^{2} (2 x) d x

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\frac{d}{d x} (x e^{x^{5}})