(\partial}{\partial u}(\frac{u-v)/2)

解

\frac{\partial}{\partial u} (\frac{u - v}{2})

\frac{1}{2}

十進法表記

0.5

解答ステップ

\frac{\partial}{\partial u} (\frac{u - v}{2})

v

を定数として扱う

定数を除去:

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

= \frac{1}{2} \frac{\partial}{\partial u} (u - v)

和/差の法則を適用:

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

= \frac{1}{2} (\frac{\partial}{\partial u} (u) - \frac{\partial}{\partial u} (v))

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

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

= \frac{1}{2} (1 - 0)

簡素化

= \frac{1}{2}