2 Find an example of a function f: [a, b] - R for some non-degenerate closed bounded interval [a, b] C R such that f is continuous and differentiable...

I thought I had a good example but could you help from another ?

4.4.2 Find an example of a function f: [a, b] - R for some non-degenerate closedbounded interval [a, b] C R such that f is continuous and differentiable on (a, b),and that f does not satisfy the conclusion of the mean value theorem.