Chapter 4: Applications of Gradients

Topics

4.1  Linear and Quadratic Approximations

       4.1.1  Introduction

       4.1.2  How do we Find the Linear Approximation to f at r'?

       4.1.3  How do we use the Linear Approximation?

       4.1.4  How do we use the Quadratic Approximations?

4.2  Maxima and Minima

4.3  Constrained Optimization: Lagrange's Multiplier

4.3.1  Lagrange's Multiplier in 2 Dimensions

4.3.2  Lagrange's Multipliers in 3 Dimensions