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Beliebt Rechnen >

derivative of sin^3(2x-1)

Lösung

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

Lösung

6 sin^{2} (2 x - 1) cos (2 x - 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (sin (2 x - 1)) = cos (2 x - 1) \cdot 2

= 3 (sin (2 x - 1))^{2} cos (2 x - 1) \cdot 2

Vereinfache

= 6 sin^{2} (2 x - 1) cos (2 x - 1)

Graph

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