derivative of cos^2(x^7)

Lösung

\frac{d}{d x} (cos^{2} (x^{7}))

- 14 x^{6} cos (x^{7}) sin (x^{7})

Schritte zur Lösung

\frac{d}{d x} (cos^{2} (x^{7}))

Wende die Kettenregel an:

2 cos (x^{7}) \frac{d}{d x} (cos (x^{7}))

= 2 cos (x^{7}) \frac{d}{d x} (cos (x^{7}))

\frac{d}{d x} (cos (x^{7})) = - sin (x^{7}) \cdot 7 x^{6}

= 2 cos (x^{7}) (- sin (x^{7}) \cdot 7 x^{6})

Vereinfache

= - 14 x^{6} cos (x^{7}) sin (x^{7})