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:
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.