derivative of-cos^3(x)

解答

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

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

求解步骤

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

将常数提出:

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

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

使用连锁律:

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

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

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

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

化简

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

\int_{0}^{π} 5 sin^{2} (x co) s^{4} x d x

\frac{d}{d x} (e^{x} cot (y) + 2 y csc (y))

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

\int_{0}^{1} x^{2} e^{x^{3} - 1} d x

\frac{\partial}{\partial x} (x^{2} + y^{3} + w^{4})