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Beliebt Rechnen >

derivative of (2x^3+1^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= 12 x^{2} (2 x^{3} + 1)

Graph

Beliebte Beispiele

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