How to Linearize a Function of Two Variables | Step-by-Step Explanation| Ex#14.6 | Thomas' Calculus
Автор: Maths by Amna
Загружено: 2026-03-11
Просмотров: 28
Описание:
In this lecture, we study the concept of Linearization of Multivariable Functions from Multivariable Calculus. Linearization is used to approximate a nonlinear function near a specific point using its tangent plane.
In this video, you will learn:
• Revision ( linearization in one variable )
• THEOREM 3—The Increment Theorem for Functions of Two Variables
• What is linearization in multivariable calculus
• Linear approximation of functions of two variables and three variables
• The formula for linearization
• Relationship between linearization and the tangent plane
• Step-by-step solved examples
• Differentials
• Exercise 14.6
Linearization helps simplify complicated functions and is widely used in **engineering, physics, and applied mathematics**.
Students studying *Calculus III, Multivariable Calculus, or Advanced Mathematics* will find this lecture very helpful.
If you like the lecture, please *Like, Share, and Subscribe* to the channel for more mathematics lectures.
#MultivariableCalculus
#Linearization
#LinearApproximation
#TangentPlane
#CalculusIII
#MathematicsLecture
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