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Beliebt Rechnen >

derivative of (4x^3+5x^4)

Lösung

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

Lösung

4 (4 x^{3} + 5 x)^{3} (12 x^{2} + 5)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (4 x^{3} + 5 x) = 12 x^{2} + 5

= 4 (4 x^{3} + 5 x)^{3} (12 x^{2} + 5)

Graph

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