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Beliebt Rechnen >

derivative of ln(sin(7x))

Lösung

\frac{d}{d x} (ln (sin (7 x)))

Lösung

7 cot (7 x)

Schritte zur Lösung

\frac{d}{d x} (ln (sin (7 x)))

Wende die Kettenregel an:

\frac{1}{sin ( 7 x )} \frac{d}{d x} (sin (7 x))

= \frac{1}{sin ( 7 x )} \frac{d}{d x} (sin (7 x))

\frac{d}{d x} (sin (7 x)) = cos (7 x) \cdot 7

= \frac{1}{sin ( 7 x )} cos (7 x) \cdot 7

Vereinfache

\frac{1}{sin ( 7 x )} cos (7 x) \cdot 7 : 7 cot (7 x)

= 7 cot (7 x)

Graph

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