Let (y = cos^2x)
Then, (y = (cos x)^2)
Using the chain rule,
(dy/dx = 2(cos x)(-sin x))
(dy/dx = -2(cos x)(sin x))
Therefore, the derivative of (cos^2x) is (-2(cos x)(sin x)).
Let (y = cos^2x)
Then, (y = (cos x)^2)
Using the chain rule,
(dy/dx = 2(cos x)(-sin x))
(dy/dx = -2(cos x)(sin x))
Therefore, the derivative of (cos^2x) is (-2(cos x)(sin x)).