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Calculus: Differentiation and Integration, 1st Edition
book

Calculus: Differentiation and Integration, 1st Edition

by ICFAI
April 2024
Intermediate to advanced content levelIntermediate to advanced
710 pages
20h 50m
English
Pearson India
Content preview from Calculus: Differentiation and Integration, 1st Edition
9-1
9
Mean Value Theorems
L e a rnin g Obje c ti v e s
After reading this chapter, you will be conversant with:
Rolle’s Theorem
Mean Value Theorem or Lagrange’s Mean Value Theorem
Cauchy’s Mean Value Theorem
Generalised Mean Value Theorem
Introduction
The mean value theorem is one of the most essential tools in calculus and used to prove a host of other
theorems in Differential and Integral Calculus. In this chapter, we shall discuss in detail some of the
important theorems in calculus namely Rolle’s theorem, Lagrange’s theorem, Cauchy’s mean value
theorem and Generalised mean value theorems.
9.1 ROLLE’S THEOREM
Rolle’s theorem is an important ...
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Publisher Resources

ISBN: 9789353948221