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Beliebt Rechnen >

derivative of (3x^5-1^7)

Lösung

\frac{d}{d x} ((3 x^{5} - 1)^{7})

Lösung

105 x^{4} (3 x^{5} - 1)^{6}

Schritte zur Lösung

\frac{d}{d x} ((3 x^{5} - 1)^{7})

Wende die Kettenregel an:

7 (3 x^{5} - 1)^{6} \frac{d}{d x} (3 x^{5} - 1)

= 7 (3 x^{5} - 1)^{6} \frac{d}{d x} (3 x^{5} - 1)

\frac{d}{d x} (3 x^{5} - 1) = 15 x^{4}

= 7 (3 x^{5} - 1)^{6} \cdot 15 x^{4}

Vereinfache

= 105 x^{4} (3 x^{5} - 1)^{6}

Graph

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