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Question: Total number of points belonging to (0, 2π) where f(x) = max. {sin x . cos x, 1 – cos x} is not diff...

Total number of points belonging to (0, 2π) where f(x) = max. {sin x . cos x, 1 – cos x} is not differentiable, is equal to

A

3

B

4

C

5

D

6

Answer

3

Explanation

Solution

Max. {sin x, cos x, 1 – cos x}

Not differentiable at x = π/4, π/2, 5π3\frac { 5 \pi } { 3 } three points.