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

ID: 2846314 • Letter: #

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.

(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!