(\partial)/(\partial y)(sin(xy^2))

解答

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

cos (x y^{2}) \cdot 2 x y

求解步骤

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

将

x

视为常数

使用连锁律:

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

= cos (x y^{2}) \frac{\partial}{\partial y} (x y^{2})

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

= cos (x y^{2}) \cdot 2 x y

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

\int x (x - 5) d x

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

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

\int_{- 1}^{1} x 1 - x^{2} d x