(\partial)/(\partial x)(sin(x)+sin(y))

解

\frac{\partial}{\partial x} (sin (x) + sin (y))

cos (x)

解答ステップ

\frac{\partial}{\partial x} (sin (x) + sin (y))

y

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 x} (sin (x)) + \frac{\partial}{\partial x} (sin (y))

\frac{\partial}{\partial x} (sin (x)) = cos (x)

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

= cos (x) + 0

簡素化

= cos (x)