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

解

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

sin (x) cos (y)

解答ステップ

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

x

を定数として扱う

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

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

共通の導関数を適用:

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

= sin (x) cos (y)