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Beliebt Rechnen >

derivative (3x^3+4)^2

Lösung

ableitung von

(3 x^{3} + 4)^{2}

Lösung

18 x^{2} (3 x^{3} + 4)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 2 (3 x^{3} + 4) \cdot 9 x^{2}

Vereinfache

= 18 x^{2} (3 x^{3} + 4)

Graph

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