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Beliebt Rechnen >

derivative of (3x+5^7)

Lösung

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

Lösung

21 (3 x + 5)^{6}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 7 (3 x + 5)^{6} \cdot 3

Vereinfache

= 21 (3 x + 5)^{6}

Graph

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