(\partial)/(\partial y)(xy^2e^{-xz})

解答

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

2 e^{- x z} x y

求解步骤

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

将

x, z

视为常数

将常数提出:

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

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

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= x e^{- x z} \cdot 2 y^{2 - 1}

化简

= 2 e^{- x z} x y

\frac{\partial}{\partial y} (x^{6} - 8 x^{5} y)

d er i v a t i v e g (x) = 4 x^{2} + 10 x - 1

\int_{- 2}^{0} x^{2} + x - 1 d x

x \to 0 lim (\frac{( tan ( 2 x ) )}{x})

d er i v a t i v e 7 x + 1