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Beliebt Rechnen >

derivative of (x^2+5^3)

Lösung

\frac{d}{d x} ((x^{2} + 5)^{3})

Lösung

6 x (x^{2} + 5)^{2}

Schritte zur Lösung

\frac{d}{d x} ((x^{2} + 5)^{3})

Wende die Kettenregel an:

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

= 3 (x^{2} + 5)^{2} \frac{d}{d x} (x^{2} + 5)

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

= 3 (x^{2} + 5)^{2} \cdot 2 x

Vereinfache

= 6 x (x^{2} + 5)^{2}

Graph

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