(\partial)/(\partial x)((cos(x))^2)

解

\frac{\partial}{\partial x} ((cos (x))^{2})

- sin (2 x)

解答ステップ

\frac{\partial}{\partial x} ((cos (x))^{2})

連鎖法則を適用:

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

= 2 cos (x) \frac{\partial}{\partial x} (cos (x))

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

= 2 cos (x) (- sin (x))

簡素化

2 cos (x) (- sin (x)) : - sin (2 x)

= - sin (2 x)