d/(dt)(tan(cos(2t)))

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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