Question

Производная f(x)=1/2*cos^2(2x)?

Answer 1

f(x) = 1/2 * cos²(2x)
f'(x) = 1/2 * (2x)' * (cos(2x))' * (cos²(2x))' = 1/2 * 2 * (-sin(2x)) * 2cos(2x) = -2sin(2x)cos(2x) = -sin(4x)