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

解

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

- \frac{1}{2}

十進法表記

- 0.5

解答ステップ

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

和/差の法則を適用:

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

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

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

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

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

簡素化

= - \frac{1}{2}