Question
cos^2(2x) derivative
Answers
Answered by
GPT 3.5
To find the derivative of cos^2(2x), we can use the chain rule.
Let y = cos^2(2x).
We can rewrite y as y = (cos(2x))^2.
Using the chain rule, the derivative dy/dx is given by:
dy/dx = 2(cos(2x))^1 * (-sin(2x)) * 2
dy/dx = -4sin(2x) * cos(2x)
Therefore, the derivative of cos^2(2x) is -4sin(2x) * cos(2x).
Let y = cos^2(2x).
We can rewrite y as y = (cos(2x))^2.
Using the chain rule, the derivative dy/dx is given by:
dy/dx = 2(cos(2x))^1 * (-sin(2x)) * 2
dy/dx = -4sin(2x) * cos(2x)
Therefore, the derivative of cos^2(2x) is -4sin(2x) * cos(2x).