derivative of sin^4(cos(8x))

Lösung

\frac{d}{d x} (sin^{4} (cos (8 x)))

- 32 sin^{3} (cos (8 x)) cos (cos (8 x)) sin (8 x)

Schritte zur Lösung

\frac{d}{d x} (sin^{4} (cos (8 x)))

Wende die Kettenregel an:

4 (sin (cos (8 x)))^{3} \frac{d}{d x} (sin (cos (8 x)))

= 4 (sin (cos (8 x)))^{3} \frac{d}{d x} (sin (cos (8 x)))

\frac{d}{d x} (sin (cos (8 x))) = - 8 cos (cos (8 x)) sin (8 x)

= 4 (sin (cos (8 x)))^{3} (- 8 cos (cos (8 x)) sin (8 x))

Vereinfache

= - 32 sin^{3} (cos (8 x)) cos (cos (8 x)) sin (8 x)

x \to 4 lim (x^{4} - 5 x^{2} + 2)

a re a f (x) = \frac{1}{x}, [1, 2]

\int_{- 5}^{0} 2^{1 - x} d x

t an g e n t y = \frac{6 x}{x ^{2} + 1}

\frac{\partial}{\partial x} (x sin (2 y))