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Rolle’s theorem is a special case of _____(a) Euclid’s theorem(b) another form of Rolle’s theorem(c) Lagrange’s mean value theorem(d) Joule’s theoremI have been asked this question in an interview for internship.I need to ask this question from Mean Value Theorem topic in portion Continuity and Differentiability of Mathematics – Class 12

Answer»

The correct option is (c) Lagrange’s mean value theorem

Easy EXPLANATION: ROLLE’s theorem is just a special CASE of Lagrange’s mean value theorem when f(a) = f(b) and Lagrange’s mean value theorem is also called the mean value theorem.



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