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Beliebt Rechnen >

derivative sin^4(6x^2)

Lösung

ableitung von

sin^{4} (6 x^{2})

Lösung

48 x sin^{3} (6 x^{2}) cos (6 x^{2})

Schritte zur Lösung

\frac{d}{d x} (sin^{4} (6 x^{2}))

Wende die Kettenregel an:

4 (sin (6 x^{2}))^{3} \frac{d}{d x} (sin (6 x^{2}))

= 4 (sin (6 x^{2}))^{3} \frac{d}{d x} (sin (6 x^{2}))

\frac{d}{d x} (sin (6 x^{2})) = cos (6 x^{2}) \cdot 12 x

= 4 (sin (6 x^{2}))^{3} cos (6 x^{2}) \cdot 12 x

Vereinfache

= 48 x sin^{3} (6 x^{2}) cos (6 x^{2})

Graph

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