Question

Discuss the differentiability of f(x) at x= 0 and x= 1.
Thanks in advance.

Answer 1

Answer:

Let f(x)=|x|+|x−1|. Check the differentiability of f at x=0 and x=1. The short answer would be since |x| is not differentiable at x=0 and |x−1| is not differentiable at x=1, so f(x) will not be differentiable at x=0,1 {Is it valid to claim this in every case ?}