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

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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