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Beliebt Rechnen >

derivative f(x)=(3x^2+1)^3

Lösung

ableitung von

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

Lösung

18 x (3 x^{2} + 1)^{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 3 (3 x^{2} + 1)^{2} \cdot 6 x

Vereinfache

= 18 x (3 x^{2} + 1)^{2}

Graph

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