(\partial)/(\partial y)(x+e^z+y)

解

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

1

解答ステップ

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

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

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

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

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

= 0 + 0 + 1

簡素化

= 1