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Beliebt Rechnen >

derivative y=(2x^2-3)^2

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= 8 x (2 x^{2} - 3)

Graph

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