Question

Let `f(x) = ||x|-1|`, then points where, f(x) is not differentiable is/are
A. `0, pm 1`
B. ` pm 1`
C. `0`
D. 1

Answer 1

Correct Answer - A
Using graphical that, the function is not differentiable at sharp edges.
figure
In fumction,
`y=||x|-1|` we have 3 sharp edges at x=-1,0,1.
Hence, f(x) is not differentiable at `{0,pm1}`.