Find the intervals in which the function...

Find the intervals in which the function f given by `f(x) = (4 sin x - 2x - x cos x)/(2 + cos x)` is (i) increasing (ii) decreasing, `x in (0, 2pi)`

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The correct Answer is:

(i) Thus, f(x) is increasing for `x in (0, pi//2) uu (3 pi//2, 2pi)`.
(ii) Thus, f(x) is decreasing for `x in (pi//2, pi) uu (pi, 3pi//2)`.

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