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Beliebt Rechnen >

derivative f(x)=(x^3+7x^2+5)^5

Lösung

ableitung von

f (x) = (x^{3} + 7 x^{2} + 5)^{5}

Lösung

5 (x^{3} + 7 x^{2} + 5)^{4} (3 x^{2} + 14 x)

Schritte zur Lösung

\frac{d}{d x} ((x^{3} + 7 x^{2} + 5)^{5})

Wende die Kettenregel an:

5 (x^{3} + 7 x^{2} + 5)^{4} \frac{d}{d x} (x^{3} + 7 x^{2} + 5)

= 5 (x^{3} + 7 x^{2} + 5)^{4} \frac{d}{d x} (x^{3} + 7 x^{2} + 5)

\frac{d}{d x} (x^{3} + 7 x^{2} + 5) = 3 x^{2} + 14 x

= 5 (x^{3} + 7 x^{2} + 5)^{4} (3 x^{2} + 14 x)

Graph

Beliebte Beispiele

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p a r i t y, x

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