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Beliebt Rechnen >

derivative y=(2x^3+7)^2

Lösung

ableitung von

y = (2 x^{3} + 7)^{2}

Lösung

12 x^{2} (2 x^{3} + 7)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (2 x^{3} + 7) = 6 x^{2}

= 2 (2 x^{3} + 7) \cdot 6 x^{2}

Vereinfache

= 12 x^{2} (2 x^{3} + 7)

Graph

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