Q. 165.0( 1 Vote )

Choose the correct answer.

Let f(x) = |sin x|. Then,

A. f(x) is everywhere differentiable.

B. f(x) is everywhere continuous but not differentiable at x = nπ, nϵZ

C. f(x) is everywhere continuous but not differentiable at x = (2n +1) π/2, nϵZ.

D. none of these

Answer :

Given that f(x) = |sin x|



From the graph it is evident that it is continuous everywhere but not differentiable at x = nπ, nϵZ

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