Chapter 12: Applications of Differentiation: Direct Use of Linear Approximation

Introduction

We consider using the linear approximation as an approximation method, and using it by iteration to determine inverse functions to the accuracy of your machine.

Topics

12.1  Estimating a Function Value Using the Linear Approximation

12.2  Determining an Inverse Function Accurately by Iterating the Linear Approximation

12.3  Spreadsheet Implementation of this Procedure