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Beliebt Rechnen >

derivative ln(tan(x))

Lösung

ableitung von

ln (tan (x))

Lösung

2 csc (2 x)

Schritte zur Lösung

\frac{d}{d x} (ln (tan (x)))

Wende die Kettenregel an:

\frac{1}{tan ( x )} \frac{d}{d x} (tan (x))

= \frac{1}{tan ( x )} \frac{d}{d x} (tan (x))

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= \frac{1}{tan ( x )} sec^{2} (x)

Vereinfache

\frac{1}{tan ( x )} sec^{2} (x) : 2 csc (2 x)

= 2 csc (2 x)

Graph

Beliebte Beispiele

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