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Beliebt Rechnen >

derivative of (3x+7^5)

Lösung

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

Lösung

15 (3 x + 7)^{4}

Schritte zur Lösung

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

Wende die Kettenregel an:

5 (3 x + 7)^{4} \frac{d}{d x} (3 x + 7)

= 5 (3 x + 7)^{4} \frac{d}{d x} (3 x + 7)

\frac{d}{d x} (3 x + 7) = 3

= 5 (3 x + 7)^{4} \cdot 3

Vereinfache

= 15 (3 x + 7)^{4}

Graph

Beliebte Beispiele

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