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Beliebt Rechnen >

derivative of (1+x^3^5)

Lösung

\frac{d}{d x} ((1 + x^{3})^{5})

Lösung

15 x^{2} (1 + x^{3})^{4}

Schritte zur Lösung

\frac{d}{d x} ((1 + x^{3})^{5})

Wende die Kettenregel an:

5 (1 + x^{3})^{4} \frac{d}{d x} (1 + x^{3})

= 5 (1 + x^{3})^{4} \frac{d}{d x} (1 + x^{3})

\frac{d}{d x} (1 + x^{3}) = 3 x^{2}

= 5 (1 + x^{3})^{4} \cdot 3 x^{2}

Vereinfache

= 15 x^{2} (1 + x^{3})^{4}

Graph

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