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October 1st, 2013, 12:39 PM   #1
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Applying Rolle's Theorem

Prove that if a function is continuous on a segment [a,b] and , then there exists a point such that .

Hint: Apply Rolle's Theorem to the function where .
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October 1st, 2013, 01:49 PM   #2
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Re: Applying Rolle's Theorem

g(a) = g(b) = 0, hence by Rolle's theorem, there exists c, such that g'(c) = 0.





Hence:

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