Question

The function $y=||x|-1|$ is differentiable for all $xϵR$ except for the values

• A. $0,1,-1$
• B. $\pm 1$
• C. $1$
• D. $-1$

Answer 1

The correct option is A $0,1,-1$

The graph takes sharp turns at x=0, -1,1
Hence, f(x) is not differentiable at $x=0,-1,1$