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Beliebt Rechnen >

derivative of (5x+1^3)

Lösung

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

Lösung

15 (5 x + 1)^{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

3 (5 x + 1)^{2} \frac{d}{d x} (5 x + 1)

= 3 (5 x + 1)^{2} \frac{d}{d x} (5 x + 1)

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

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

Vereinfache

= 15 (5 x + 1)^{2}

Graph

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