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Explain Rolle's theorem..
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Rolle's theorem, in analysis, special case of the mean-value theorem of differential calculus. Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b.
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if function f(x) and a and be be a two point and a is not equal to b. but f(a)=f(b), then there should be a point c between a and b such that differentiation of function f(x) at point c should be zero.
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