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Beliebt Rechnen >

derivative f(x)=(x^4-2x)^5

Lösung

ableitung von

f (x) = (x^{4} - 2 x)^{5}

Lösung

5 (x^{4} - 2 x)^{4} (4 x^{3} - 2)

Schritte zur Lösung

\frac{d}{d x} ((x^{4} - 2 x)^{5})

Wende die Kettenregel an:

5 (x^{4} - 2 x)^{4} \frac{d}{d x} (x^{4} - 2 x)

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

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

= 5 (x^{4} - 2 x)^{4} (4 x^{3} - 2)

Graph

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