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

Lösung

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

- 4 cos (sin (2 x)) sin (sin (2 x)) cos (2 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 2 cos (sin (2 x)) (- sin (sin (2 x)) cos (2 x) \cdot 2)

Vereinfache

= - 4 cos (sin (2 x)) sin (sin (2 x)) cos (2 x)

\frac{d}{d x} ((x^{2} + 1)^{l n (x)})

i = 1 \sum \infty 4 (2)^{i - 1}

\int \frac{ln ( x ) - 2}{x ln ( x ) ( ln ( x ) - 1 )} d x

\int sin (x) ln (x) cos (x) d x

l a pl a ce t r an s f or m e^{m t}