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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