# Math Help - HeLP Extra Credit Fixed Point Problem (please check)

1. ## HeLP Extra Credit Fixed Point Problem (please check)

A number a, is called a fixed point of a function f(a)=a. Let f(x) be a continuous function that is differentiable everywhere. However, the derivative of f(x) is never equal to one, (f ' (x) cannot equal 1), for any x in its domain. Prove that the function, f, cannot have more than one fixed point.