(\partial)/(\partial y)(x^2e^{2y})

解答

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

x^{2} e^{2 y} \cdot 2

求解步骤

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

将

x

视为常数

将常数提出:

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

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

使用连锁律:

e^{2 y} \frac{\partial}{\partial y} (2 y)

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

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

= x^{2} e^{2 y} \cdot 2

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