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Beliebt Rechnen >

derivative f(x)=(7x^4-6x^3-5x)^8

Lösung

ableitung von

f (x) = (7 x^{4} - 6 x^{3} - 5 x)^{8}

Lösung

8 (7 x^{4} - 6 x^{3} - 5 x)^{7} (28 x^{3} - 18 x^{2} - 5)

Schritte zur Lösung

\frac{d}{d x} ((7 x^{4} - 6 x^{3} - 5 x)^{8})

Wende die Kettenregel an:

8 (7 x^{4} - 6 x^{3} - 5 x)^{7} \frac{d}{d x} (7 x^{4} - 6 x^{3} - 5 x)

= 8 (7 x^{4} - 6 x^{3} - 5 x)^{7} \frac{d}{d x} (7 x^{4} - 6 x^{3} - 5 x)

\frac{d}{d x} (7 x^{4} - 6 x^{3} - 5 x) = 28 x^{3} - 18 x^{2} - 5

= 8 (7 x^{4} - 6 x^{3} - 5 x)^{7} (28 x^{3} - 18 x^{2} - 5)

Graph

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