(\partial)/(\partial u)(1/4 (u-v))

解答

\frac{\partial}{\partial u} (\frac{1}{4} (u - v))

\frac{1}{4}

十进制

0.25

求解步骤

\frac{\partial}{\partial u} (\frac{1}{4} (u - v))

将

v

视为常数

将常数提出:

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

= \frac{1}{4} \frac{\partial}{\partial u} (u - v)

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{1}{4} (\frac{\partial}{\partial u} (u) - \frac{\partial}{\partial u} (v))

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

\frac{\partial}{\partial u} (v) = 0

= \frac{1}{4} (1 - 0)

化简

= \frac{1}{4}

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