(\partial)/(\partial y)(e^{xy}-z)

解

\frac{\partial}{\partial y} (e^{x y} - z)

e^{x y} x

解答ステップ

\frac{\partial}{\partial y} (e^{x y} - z)

x, z

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} (e^{x y}) - \frac{\partial}{\partial y} (z)

\frac{\partial}{\partial y} (e^{x y}) = e^{x y} x

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

= e^{x y} x - 0

簡素化

= e^{x y} x