Another form of Rolle’s theorem for the continuous condition is _____(a) f is continuous on [a,a-h](b) f is continuous on [a,h](c) f is continuous on [a,a+h](d) f is continuous on [a,ah]The question was asked at a job interview.I want to ask this question from Mean Value Theorem in division Continuity and Differentiability of Mathematics – Class 12

Another form of Rolle’s theorem for the continuous condition is ____

1.	Another form of Rolle’s theorem for the continuous condition is _____(a) f is continuous on [a,a-h](b) f is continuous on [a,h](c) f is continuous on [a,a+h](d) f is continuous on [a,ah]The question was asked at a job interview.I want to ask this question from Mean Value Theorem in division Continuity and Differentiability of Mathematics – Class 12
Answer» CORRECT option is (c) f is continuous on [a,a+h] The BEST I can explain: According to Rolle’s theorem, if f : [a,a+h] → R is a function such that i) f is continuous on [a,a+h] ii) f is DIFFERENTIABLE on (a,a+h) iii) f(a) = f(a+h) then there exists at least one θ c ∈ (0,1) such that f’(a+θh) = 0

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