Show that ƒ(x) = (x-1) 1/3 is not differentiable at x=1.

Question

Philoid · Accepted Answer

Given function f(x) = (x-1)^1/3

LHD at x = 1

= Not defined

RHD at x = 1

= Not defined

Since, LHD and RHD doesn’t exists

Therefore, f(x) is not differentiable at x = 1.