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Beliebt Rechnen >

derivative (4x^5+1)^3

Lösung

ableitung von

(4 x^{5} + 1)^{3}

Lösung

60 x^{4} (4 x^{5} + 1)^{2}

Schritte zur Lösung

\frac{d}{d x} ((4 x^{5} + 1)^{3})

Wende die Kettenregel an:

3 (4 x^{5} + 1)^{2} \frac{d}{d x} (4 x^{5} + 1)

= 3 (4 x^{5} + 1)^{2} \frac{d}{d x} (4 x^{5} + 1)

\frac{d}{d x} (4 x^{5} + 1) = 20 x^{4}

= 3 (4 x^{5} + 1)^{2} \cdot 20 x^{4}

Vereinfache

= 60 x^{4} (4 x^{5} + 1)^{2}

Graph

Beliebte Beispiele

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