(\partial)/(\partial y)(6xcos(x)cos(y))

解

\frac{\partial}{\partial y} (6 x cos (x) cos (y))

- 6 x cos (x) sin (y)

解答ステップ

\frac{\partial}{\partial y} (6 x cos (x) cos (y))

x

を定数として扱う

定数を除去:

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

= 6 x cos (x) \frac{\partial}{\partial y} (cos (y))

共通の導関数を適用:

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

= 6 x cos (x) (- sin (y))

簡素化

= - 6 x cos (x) sin (y)