derivative of sin^3(cos(x))

解答

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

- 3 sin^{2} (cos (x)) cos (cos (x)) sin (x)

求解步骤

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

使用连锁律:

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

= 3 (sin (cos (x)))^{2} \frac{d}{d x} (sin (cos (x)))

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

= 3 (sin (cos (x)))^{2} (- cos (cos (x)) sin (x))

化简

= - 3 sin^{2} (cos (x)) cos (cos (x)) sin (x)

\frac{d ^{2} y}{d x ^{2}} = \frac{( 6 x ^{5} )}{5} - 3 x

d er i v a t i v e y = \frac{x ^{2} + 1}{x + 1}

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

x \to 0 lim (\frac{4}{3 + e ^{\frac{1}{x}}})

\frac{d}{d x} (sin (2 x + 3 y))