Question

Lagrange’s mean value theorem is also called as _____

(a) Euclid’s theorem

(b) Rolle’s theorem

(c) a special case of Rolle’s theorem

(d) the mean value theorem

I have been asked this question by my school principal while I was bunking the class.

This is a very interesting question from Mean Value Theorem topic in portion Continuity and Differentiability of Mathematics – Class 12

Answer 1

Right option is (d) the mean value theorem

The best explanation: Lagrange’s mean value theorem is also called the mean value theorem and Rolle’s theorem is just a special case of Lagrange’s mean value theorem when f(a) = f(b).