Verify Rolle's theorem for each of the f...

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]`

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