Question

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

A. f(x) is everywhere differentiable.

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

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

D. None of these

Answer 1

Correct answer is B.

Given that f(x) = |sin x|

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