# Extrema and Rolle's theorem

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1) Locate and classify the extrema of the following functions:

Justify your answer

2) Let be continuous functions, such that f(0)+g(0)=0 and f(1)+g(1)=0. assume also that f, g are also differentiable for every use Rolle's theorem to show that there exists an , such that (see the attachment).

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#### Solution Summary

This solution shows how to locate and classify extrema of giving functions and use Rolle's theorem to formulate a proof about given continuous functions

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