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0 votes
4.6k views
in Continuity and Differentiability by (28.7k points)
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The function f(x) = |cos x| is

A. Everywhere continuous and differentiable

B. Everywhere continuous but not differentiable at (2n + 1) π/2, n∈Z

C. Neither continuous nor differentiable at (2n + 1) π/2, n∈Z

D. None of these

1 Answer

+1 vote
by (29.1k points)
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Best answer

Correct answer is B.

Given that f(x) = |cos x|

From the graph it is evident that it is everywhere continuous but not differentiable at (2n + 1) π/2, n∈Z.

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