# Ch 14  Partial Derivatives

## Ch 14.1 Functions of Several Variables

Introduction to Functions of Two Variables

Level Curves of Functions of Two Variables

## Ch 14.2 Limits and Continuity

Limits of Functions of Two Variables

## Ch 14.3 Partial Derivatives

First Order Partial Derivatives

Second Order Partial Derivatives

Higher Order Partial Derivatives

## Ch 14.4 Tangent Planes and Linear Approximations

Determining the Equation of a Tangent Plane

Tangent Plane (Linear) Approximations

## Ch 14.5 The Chain Rule

The Chain Rule for Functions of Two Variable with One Independent Variable

The Chain Rule for Functions of Two Variable with Two Independent Variables

Total Differentials and the Chain Rule

Implicit Differentiation of Functions of One Variable Using Partial Derivatives : Part 1 and Part 2

## Ch 14.7 Maximum and Minimum Values

Determining the Local Maximum and Local Minimum of a Function of Two Variables

Applications of Local Maximum and Local Minimum of Functions of Two Variables : Part 1, Part 2 and Part 3

Absolute Maximum and Absolute Minimum of Functions of Two Variables: Example 1

Absolute maximum and absolute minimum of Functions of Two Variables: Example 2

## Ch 14.8 Lagrange Multipliers

Lagrange Multipliers with One Constant: Example 1, Example 2 and Example 3