(\partial)/(\partial x)(-2tan(x)sin(2y))

解

\frac{\partial}{\partial x} (- 2 tan (x) sin (2 y))

- 2 sin (2 y) sec^{2} (x)

解答ステップ

\frac{\partial}{\partial x} (- 2 tan (x) sin (2 y))

y

を定数として扱う

定数を除去:

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

= - 2 sin (2 y) \frac{\partial}{\partial x} (tan (x))

共通の導関数を適用:

\frac{\partial}{\partial x} (tan (x)) = sec^{2} (x)

= - 2 sin (2 y) sec^{2} (x)