derivative sin^7(cos(5x))

Lösung

ableitung von

sin^{7} (cos (5 x))

- 35 sin^{6} (cos (5 x)) cos (cos (5 x)) sin (5 x)

Schritte zur Lösung

\frac{d}{d x} (sin^{7} (cos (5 x)))

Wende die Kettenregel an:

7 (sin (cos (5 x)))^{6} \frac{d}{d x} (sin (cos (5 x)))

= 7 (sin (cos (5 x)))^{6} \frac{d}{d x} (sin (cos (5 x)))

\frac{d}{d x} (sin (cos (5 x))) = - 5 cos (cos (5 x)) sin (5 x)

= 7 (sin (cos (5 x)))^{6} (- 5 cos (cos (5 x)) sin (5 x))

Vereinfache

= - 35 sin^{6} (cos (5 x)) cos (cos (5 x)) sin (5 x)

t an g e n t f (x) = 3 x^{2} + 2 x, at x = - 3

\frac{\partial}{\partial y} ((e^{x} - x) cos (y))

\int (sin (x) - 5 cos (x)) d x

x \to 1 lim (\frac{x}{x ^{2} + 1})

\frac{\partial}{\partial x} (e^{- 2 x^{2} - 5 y^{2}})