Verify Rolle's theorem for each of the following functions:   (i) `f(x) = sin 2x "
Channel: Doubtnut
Date: 2020-04-26

Verify Rolle's theorem for each of the following functions:   (i) `f(x) = sin 2x " in " [0, (pi)/(2)]`   (ii) `f(x) = (sin x + cos x) " in " [0, (pi)/(2)]`   (iii) `f(x) = cos 2 (x - (pi)/(4)) " in " [0, (pi)/(2)]`   (iv) `f(x) = (sin x - sin 2x) " in " [0, pi]`