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Beliebt Rechnen >

derivative of (3cos(2x+sin(3x))^2)

Lösung

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

Lösung

2 (3 cos (2 x) + sin (3 x)) (- 6 sin (2 x) + cos (3 x) \cdot 3)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (3 cos (2 x) + sin (3 x)) = - 6 sin (2 x) + cos (3 x) \cdot 3

= 2 (3 cos (2 x) + sin (3 x)) (- 6 sin (2 x) + cos (3 x) \cdot 3)

Graph

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