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Saturday, November 22, 2008
Rolle's Theorem
When f(x) is a real valued function defined on [a,b] such that
i) it is continuous on [a,b],
ii) it is differentiable on (a,b) and
iii) f(a) = f(b)
there exists a real number c that belongs to (a,b) such that
f'(c) = 0
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