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Question

Mathematics Question on Functions

The function f(x) = |cos x| is

A

Everywhere continuous and differentiable

B

Everywhere continuous but not differentiable at odd multiples of π2\frac{π}{2}

C

Neither continuous nor differentiable at (2n+1)π2,nZ(2n+1)\frac{π}{2},n\in Z

D

Not differentiable everywhere

Answer

Everywhere continuous but not differentiable at odd multiples of π2\frac{π}{2}

Explanation

Solution

The correct answer is Option (B) : Everywhere continuous but not differentiable at odd multiples of π2\frac{π}{2}