Question:medium

Consider all functions given in List-I in the interval [1,3]. The List-2 has the values of 'c' obtained by applying Lagrange's mean value theorem on the functions of List-1. Match the functions and values of 'c'.

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Lagrange's Mean Value Theorem connects the average slope of a function over an interval to the instantaneous slope at some point within that interval. The core of applying it is to calculate both $f'(c)$ and $\frac{f(b)-f(a)}{b-a}$ and set them equal.

Updated On: Mar 30, 2026

A-II, B-V, C-IV, D-III
A-II, B-I, C-IV, D-III
A-IV, B-V, C-II, D-I
A-IV, B-III, C-II, D-V

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The Correct Option is D

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