(\partial)/(\partial y)(x+2y-6)

解

\frac{\partial}{\partial y} (x + 2 y - 6)

2

解答ステップ

\frac{\partial}{\partial y} (x + 2 y - 6)

x

を定数として扱う

和/差の法則を適用:

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

= \frac{\partial}{\partial y} (x) + \frac{\partial}{\partial y} (2 y) - \frac{\partial}{\partial y} (6)

\frac{\partial}{\partial y} (x) = 0

\frac{\partial}{\partial y} (2 y) = 2

\frac{\partial}{\partial y} (6) = 0

= 0 + 2 - 0

簡素化

= 2