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Beliebt Rechnen >

derivative ln(sin(11x))

Lösung

ableitung von

ln (sin (11 x))

Lösung

11 cot (11 x)

Schritte zur Lösung

\frac{d}{d x} (ln (sin (11 x)))

Wende die Kettenregel an:

\frac{1}{sin ( 11 x )} \frac{d}{d x} (sin (11 x))

= \frac{1}{sin ( 11 x )} \frac{d}{d x} (sin (11 x))

\frac{d}{d x} (sin (11 x)) = cos (11 x) \cdot 11

= \frac{1}{sin ( 11 x )} cos (11 x) \cdot 11

Vereinfache

\frac{1}{sin ( 11 x )} cos (11 x) \cdot 11 : 11 cot (11 x)

= 11 cot (11 x)

Graph

Beliebte Beispiele

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