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#1 2018-11-20 22:53:52
- Zeeshan 01
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- Registered: 2016-07-22
- Posts: 746
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
Malik
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#2 2018-11-21 21:21:15
- Bob
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- Registered: 2010-06-20
- Posts: 10,621
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 
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