(\partial)/(\partial x)(7e^{x/y})

解答

\frac{\partial}{\partial x} (7 e^{\frac{x}{y}})

\frac{7 e ^{\frac{x}{y}}}{y}

求解步骤

\frac{\partial}{\partial x} (7 e^{\frac{x}{y}})

将

y

视为常数

将常数提出:

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

= 7 \frac{\partial}{\partial x} (e^{\frac{x}{y}})

使用连锁律:

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

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

\frac{\partial}{\partial x} (\frac{x}{y}) = \frac{1}{y}

= 7 e^{\frac{x}{y}} \frac{1}{y}

化简

7 e^{\frac{x}{y}} \frac{1}{y} : \frac{7 e ^{\frac{x}{y}}}{y}

= \frac{7 e ^{\frac{x}{y}}}{y}

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