derivative 4cos(cos(x))

Lösung

ableitung von

4 cos (cos (x))

4 sin (cos (x)) sin (x)

Schritte zur Lösung

\frac{d}{d x} (4 cos (cos (x)))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (cos (cos (x)))

Wende die Kettenregel an:

- sin (cos (x)) \frac{d}{d x} (cos (x))

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

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

= 4 (- sin (cos (x)) (- sin (x)))

Vereinfache

= 4 sin (cos (x)) sin (x)

d er i v a t i v e 3 x^{2} cos (5 x)

d er i v a t i v e f (x) = x cos (x) - sin (x)

d er i v a t i v e f (x) = ln (2 x + 1)

\int_{0}^{4} \frac{1}{64 - x ^{2}} d x

x \to \infty lim (ln (3))