(\partial)/(\partial y)(x^2-x+{g}(y))

解

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

\frac{\partial}{\partial y} (g (y))

解答ステップ

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

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

\frac{\partial}{\partial y} (x^{2}) = 0

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

= 0 - 0 + \frac{\partial}{\partial y} (g (y))

簡素化

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