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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

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