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Beliebt Rechnen >

derivative of (5x^3-3x+4^{20})

Lösung

\frac{d}{d x} ((5 x^{3} - 3 x + 4)^{20})

Lösung

20 (5 x^{3} - 3 x + 4)^{19} (15 x^{2} - 3)

Schritte zur Lösung

\frac{d}{d x} ((5 x^{3} - 3 x + 4)^{20})

Wende die Kettenregel an:

20 (5 x^{3} - 3 x + 4)^{19} \frac{d}{d x} (5 x^{3} - 3 x + 4)

= 20 (5 x^{3} - 3 x + 4)^{19} \frac{d}{d x} (5 x^{3} - 3 x + 4)

\frac{d}{d x} (5 x^{3} - 3 x + 4) = 15 x^{2} - 3

= 20 (5 x^{3} - 3 x + 4)^{19} (15 x^{2} - 3)

Graph

Beliebte Beispiele

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