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Beliebt Rechnen >

derivative of (4x^3+1^2)

Lösung

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

Lösung

24 x^{2} (4 x^{3} + 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (4 x^{3} + 1) = 12 x^{2}

= 2 (4 x^{3} + 1) \cdot 12 x^{2}

Vereinfache

= 24 x^{2} (4 x^{3} + 1)

Graph

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