Rolle's Theorem
16279 01/27/2017 Mathematics 394 /Rolle's Theorem :
Let 'f' be a function defined in [a, b] such that
It is continuous in closed interval [a, b]
It is differentiable in open interval (a, b)
f(a)=f(b)f(a)=f(b), then there is at least one number 'c' in (a, b) such that f ' (c) = 0
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