Write the points where f(x) = |log e x| is not differentiable.

Question

Philoid · Accepted Answer

Given that f(x) = |log_e x| where

Clearly f(x) is differentiable for x>1 and x<1. So, we will check the differentiability at x = 1.

LHD at x =1,

RHD at x =1,

∵ LHD ≠RHD

∴ f(x) = |log_e x| is not differentiable.