RD Sharma Solutions Class 12 Mean Value Theorems

RD Sharma Solutions Class 12 Chapter 15

The RD Sharma class 12 solutions for the chapter “Mean Value Theorems” is given here. The RD Sharma textbooks are in accordance with the latest syllabus of Central Board of Secondary Education, i.e. CCE guidelines. The RD Sharma textbooks contain detailed conceptual problems along with solved examples.

Mean Value Theorem

The mean value theorem is one of the most important theories in calculus. According to mean value theorem f(x) is continuous and defined on the interval [a,b] and differentiable on (a,b), then at least one number ‘c’ is there in the interval (a,b) such that:

Rolle’s Theorem

Let ‘f’ be a real-valued function defined on the closed interval [x,y] such that:

It is continuous in the closed interval [x,y].

It is differentiable on the open interval (x,y).

f(x) = f(y).

Then there exists a real number c ⋹ (x,y) such that f’ (c) = 0

Get the detailed RD Sharma Solutions for Class 12 for Chapter 15: Mean Value Theorems in the table mentioned below.

Mean Value Theorems Class 12th RD Sharma Exercises

Mean Value Theorems Exercise 15.1

Mean Value Theorems Exercise 15.2

Practise This Question

Sixteen players P1.P2.P16 play in a tournament.  They are divided into eight pairs at random.From each pair a winner is decided on the basis of a game played between the two players of the pair.Assuming that all the players are of equal strength, the probability that exactly one of the two players P1 and P2 is among the eight winners is