Question

rolles theorem is a special case of​

Answer 1

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.