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Beliebt Rechnen >

derivative f(x)=(3x^2+4x+1)^{10}

Lösung

ableitung von

f (x) = (3 x^{2} + 4 x + 1)^{10}

Lösung

10 (3 x^{2} + 4 x + 1)^{9} (6 x + 4)

Schritte zur Lösung

\frac{d}{d x} ((3 x^{2} + 4 x + 1)^{10})

Wende die Kettenregel an:

10 (3 x^{2} + 4 x + 1)^{9} \frac{d}{d x} (3 x^{2} + 4 x + 1)

= 10 (3 x^{2} + 4 x + 1)^{9} \frac{d}{d x} (3 x^{2} + 4 x + 1)

\frac{d}{d x} (3 x^{2} + 4 x + 1) = 6 x + 4

= 10 (3 x^{2} + 4 x + 1)^{9} (6 x + 4)

Graph

Beliebte Beispiele

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