Find the x-coordinates where f '(x) = 0 for f(x) = 2x – sin(2x) in the interval [0, 2π].

Question

Find the x-coordinates where f '(x) = 0 for f(x) = 2x – sin(2x) in the interval [0, 2π].

Thank you so much in advance!

Answer 1

f'(x) = 2 - 2 cos 2x

f'(x) = 0 where cos 2x = 1 which means 2x = 0 or 2π, i.e. x = 0 or x = π