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#1 2018-11-20 22:53:52

Zeeshan 01
Member
Registered: 2016-07-22
Posts: 719

Differentiability

Q.Show that the function f(x)=|x|+|x-1| is continuous for every value of x but is not differentiable at x=0 and x=1

A. I have checked the continuity, only need to check Lf'(0) and Rf'(0) and for x=1


M.M.Zeeshan.K

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#2 2018-11-21 21:21:15

bob bundy
Administrator
Registered: 2010-06-20
Posts: 8,447

Re: Differentiability

Correct.  Here's the graph:

https://www.mathsisfun.com/data/functio … )+abs(x-1)

So just show that the left and right limits are not the same.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob Bundy smile

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