(\partial)/(\partial x)(x/(3+y))

解答

\frac{\partial}{\partial x} (\frac{x}{3 + y})

\frac{1}{3 + y}

求解步骤

\frac{\partial}{\partial x} (\frac{x}{3 + y})

将

y

视为常数

将常数提出:

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

= \frac{1}{3 + y} \frac{\partial}{\partial x} (x)

使用常见微分定则:

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

= \frac{1}{3 + y} \cdot 1

化简

= \frac{1}{3 + y}

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