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Find at how many points f(x) is not differentiable

Source: MTRP 2015 Class 11-Multiple Choice Question: Problem 13 :-

September 21, 2020
trigonometrydifferentiable functionscalculus

Problem Statement

Define f(x)=max⁡{sin⁡x,cos⁡x}.f(x)=\max \{\sin x, \cos x\} . Find at how many points in (−2π,2π),f(x)(-2 \pi, 2 \pi), f(x) is not differentiable?
[*] 0 [*] 2 [*] 4 [*] ∞\infty
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