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Beliebt Rechnen >

derivative of sqrt(sin(3x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{2 sin ( 3 x )} cos (3 x) \cdot 3 : \frac{3 cos ( 3 x )}{2 sin ( 3 x )}

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

Graph

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