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Fixed Point : Mean Value Theorem

A number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one fixed point.

Solution Summary

The mean value theorem is used to provide a proof regarding fixed points. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.