(\partial)/(\partial y)(cos(2x)sin(3y))

解

\frac{\partial}{\partial y} (cos (2 x) sin (3 y))

cos (2 x) cos (3 y) \cdot 3

解答ステップ

\frac{\partial}{\partial y} (cos (2 x) sin (3 y))

x

を定数として扱う

定数を除去:

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

= cos (2 x) \frac{\partial}{\partial y} (sin (3 y))

連鎖法則を適用:

cos (3 y) \frac{\partial}{\partial y} (3 y)

= cos (3 y) \frac{\partial}{\partial y} (3 y)

\frac{\partial}{\partial y} (3 y) = 3

= cos (2 x) cos (3 y) \cdot 3