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Beliebt Rechnen >

derivative f(x)=(x^2+9x+2)^5

Lösung

ableitung von

f (x) = (x^{2} + 9 x + 2)^{5}

Lösung

5 (x^{2} + 9 x + 2)^{4} (2 x + 9)

Schritte zur Lösung

\frac{d}{d x} ((x^{2} + 9 x + 2)^{5})

Wende die Kettenregel an:

5 (x^{2} + 9 x + 2)^{4} \frac{d}{d x} (x^{2} + 9 x + 2)

= 5 (x^{2} + 9 x + 2)^{4} \frac{d}{d x} (x^{2} + 9 x + 2)

\frac{d}{d x} (x^{2} + 9 x + 2) = 2 x + 9

= 5 (x^{2} + 9 x + 2)^{4} (2 x + 9)

Graph

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