(a) Give an example of a function f ( x ) such that f ( x ) is differentiable ev

Question

(a)  Give an example of a function f(x) such that f(x) is differentiable everywhere, but f?(x) is not.

(b)  Give an example of a function g(x) such that g(x) is differentiable everywhere, but |g(x)| is not.

(c)  Give an example of a function h(x) such that |h(x)| is differentiable everywhere, but h(x) is not.

(d)  Give an example of an invertible function j(x) such that j(x) is differentiable everywhere, but j?1(x) is not.

please give formulas for each functions and a decription of the graph if possible!  

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