Rolle’s Theorem is stated as below: -
Let ‘f’, be a real valued function defined on the closed interval a, b such that
i. It is continuous in the closed interval [a, b].
ii. It is differentiable in the open interval (a, b).
iii. f(a) = f(b)
Then there exists a real number c Є (a, b) such that f’(c) = 0.
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