question_answer

The number of points of non-differentiability for\[f(x)=max\,\{\left| \left| x \right|-1 \right|,1/2\}\] is

A) 4

B) 3

C) 2

D) 5

Correct Answer: D

Solution :

[d] Clearly, from the graph, \[f(x)\] is non-differentiable at five points.