(\partial)/(\partial u)(sin(u)sin(v))

解答

\frac{\partial}{\partial u} (sin (u) sin (v))

sin (v) cos (u)

求解步骤

\frac{\partial}{\partial u} (sin (u) sin (v))

将

v

视为常数

将常数提出:

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

= sin (v) \frac{\partial}{\partial u} (sin (u))

使用常见微分定则:

\frac{\partial}{\partial u} (sin (u)) = cos (u)

= sin (v) cos (u)

\frac{d ^{2}}{d x ^{2}} (8 e^{x})

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

\int \frac{1}{1 - x ^{2}} \cdot ln (\frac{1 + x}{1 - x}) d x

t an g e n t f (x) = 5 x^{2}, at x = 1

\frac{d y}{d x} = 4 (y^{2} + 1)