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Beliebt Rechnen >

derivative of tan(cos(2x))

Lösung

\frac{d}{d x} (tan (cos (2 x)))

Lösung

- 2 sec^{2} (cos (2 x)) sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (tan (cos (2 x)))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (cos (2 x)) = - sin (2 x) \cdot 2

= sec^{2} (cos (2 x)) (- sin (2 x) \cdot 2)

Vereinfache

= - 2 sec^{2} (cos (2 x)) sin (2 x)

Graph

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