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Beliebt Rechnen >

derivative of (x^4-3x^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 2 (x^{4} - 3 x) (4 x^{3} - 3)

Graph

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