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B
discontinuous at 2 point in (−π,π)
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C
not differentiable at only 2 point in (−π,π)
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D
none of these
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Solution
The correct option is A not differentiable at 4 point in (−π,π) Given ,f(x)= max (|tanx|,|cosx|) If we graph f(x), we get a symmetrical continuous function about (0,0) with 2 non differentiable points in [0,π) Thus, there are total 4 points of non diffrentiability in (π,π), since the function is symmetric about (0,0) So the correct option is (A).