(\partial)/(\partial x)(sin(12x)cos(2y))

解

\frac{\partial}{\partial x} (sin (12 x) cos (2 y))

cos (2 y) cos (12 x) \cdot 12

解答ステップ

\frac{\partial}{\partial x} (sin (12 x) cos (2 y))

y

を定数として扱う

定数を除去:

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

= cos (2 y) \frac{\partial}{\partial x} (sin (12 x))

連鎖法則を適用:

cos (12 x) \frac{\partial}{\partial x} (12 x)

= cos (12 x) \frac{\partial}{\partial x} (12 x)

\frac{\partial}{\partial x} (12 x) = 12

= cos (2 y) cos (12 x) \cdot 12