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Beliebt Rechnen >

derivative of (ln(cos^2(x))^2)

Lösung

\frac{d}{d x} ((ln (cos^{2} (x)))^{2})

Lösung

- 4 ln (cos^{2} (x)) tan (x)

Schritte zur Lösung

\frac{d}{d x} ((ln (cos^{2} (x)))^{2})

Wende die Kettenregel an:

2 ln (cos^{2} (x)) \frac{d}{d x} (ln (cos^{2} (x)))

= 2 ln (cos^{2} (x)) \frac{d}{d x} (ln (cos^{2} (x)))

\frac{d}{d x} (ln (cos^{2} (x))) = - 2 tan (x)

= 2 ln (cos^{2} (x)) (- 2 tan (x))

Vereinfache

= - 4 ln (cos^{2} (x)) tan (x)

Graph

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