# rolle's theorem find c

If Rolle's Theorem cannot be applied, enter NA.) Extra Because the hypotheses are true, we know without further work, that the conclusion of Rolle's Theorem must also be true. asked Nov 8, 2018 in Mathematics by Samantha ( 38.8k points) continuity and differntiability No, because f is not continuous on the closed interval [a, b]. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. According to Rolle's theorem, for a function f (x) continuous in the interval x ∈ [a, b] and differentiable in the interval (a, b) such that f (a) = f (b) then, there exists a unique number a < c < b such that f ′ (c) = 0. Conclusion • The Rolle’s Theorem has same value of the functions. At first, Rolle was critical of calculus, but later changed his mind and proving this very important theorem. Click hereto get an answer to your question ️ (i) Verify the Rolle's theorem for the function f(x) = sin ^2x ,0< x 3, hence f(x) satisfies the conditions of Rolle's theorem. 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