(\partial)/(\partial x)(cos^2(3x))

解答

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

- 3 sin (6 x)

求解步骤

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

使用连锁律:

2 cos (3 x) \frac{\partial}{\partial x} (cos (3 x))

= 2 cos (3 x) \frac{\partial}{\partial x} (cos (3 x))

\frac{\partial}{\partial x} (cos (3 x)) = - sin (3 x) \cdot 3

= 2 cos (3 x) (- sin (3 x) \cdot 3)

化简

2 cos (3 x) (- sin (3 x) \cdot 3) : - 3 sin (6 x)

= - 3 sin (6 x)

\frac{d y}{d x} + 2 y = x y^{- 2}

d er i v a t i v e ln (144 sin^{2} (x))

\int_{8}^{10} x d x

\int_{1}^{e} ln (19 x) d x

x \to 8 + lim (\frac{1}{x + 8})