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Beliebt Rechnen >

derivative of sin^2(3x+2)

Lösung

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

Lösung

6 sin (3 x + 2) cos (3 x + 2)

Schritte zur Lösung

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

Wende die Kettenregel an:

2 sin (3 x + 2) \frac{d}{d x} (sin (3 x + 2))

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

\frac{d}{d x} (sin (3 x + 2)) = cos (3 x + 2) \cdot 3

= 2 sin (3 x + 2) cos (3 x + 2) \cdot 3

Vereinfache

= 6 sin (3 x + 2) cos (3 x + 2)

Graph

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