derivative of 8sin^3(x)

解答

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

24 sin^{2} (x) cos (x)

求解步骤

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

将常数提出:

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

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

使用连锁律:

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

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

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

= 8 \cdot 3 (sin (x))^{2} cos (x)

化简

= 24 sin^{2} (x) cos (x)

\int (8 x + 4) e^{(x^{2} + x)} d x

d er i v a t i v e f (x) = x^{2} - tan (x)

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

\frac{\partial}{\partial x} (e^{- 6 x^{2} - 3 y^{2}})

t a y l or \frac{( x + 1 )}{x ^{2} + 1}