Continuity and DifferentiabilityHard

Question

The set of points where the function f(x) = | x - 2 | cosx is differentiable is-

Options

A.(-∞, ∞)
B.(-∞, ∞)/ {2}
C.(-0, ∞)
D.none of these

Solution

f(x) = | x - 2 | cos x is differentiable at (-∞, ∞) except x = 2

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