Question

define rolles theorem
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Answer 1

Step-by-step explanation:

Rolle's theorem, in analysis, special case of the mean-value theorem of differential calculus. Rolle's theoremstates 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.

Answer 2

Answer:

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.