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Homework Statement
Find a function f : [-1,1] ---> R such that f satisfies the following properties:
a) f is continuous
b) f is restricted to (-1,1) is differentiable
c) its derivative f' is not differentiable on (-1,1)
Homework Equations
The Attempt at a Solution
I kinda think that the mean value theorem and Theorem 2 of the fundamentals [tex]\int[/tex]f(x)dx = F(b)-F(a) got some link but I can't seem to get it. I do understand that for f'' not to exist, x should be undefined on the (-1,1). Please help.