Introduction
254
- 4.1Related Rates
- 4.2Maximum and Minimum Values; Critical Numbers
- 4.3The Mean Value Theorem
- 4.4Local Extrema and Concavity
- 4.5Indeterminate Forms and L’Hôpital’s Rule
- 4.6Using Calculus to Graph Functions
- 4.7Optimization
- 4.8Antiderivatives; Differential Equations
- Chapter Review
- Chapter Project
| The U.S. Economy | |
| There are many ways economists collect and report data about the U. S. economy. Two such reports are the Unemployment Rate and the Gross Domestic Product (GDP). The Unemployment Rate gives the percentage of people over the age of 16 who are unemployed and are actively looking for a job. The GDP growth rate measures the rate of increase (or decrease) in the market value of all goods and services produced over a period of time. The graphs on the right show the Unemployment Rate and the GDP growth rate in the United States from 2007–2012. | 
|
CHAPTER 4 PROJECT
The Chapter Project on page 342 examines the two economic indicators, the Unemployment Rate and the GDP growth rate, and investigates relationships they might have to each other.
In Chapters 2 and 3, we developed a variety of formulas for finding derivatives. We also began to investigate how derivatives are applied, using derivatives to obtain polynomial approximations of functions and to approximate the zeros of a function.
In this chapter, we continue to explore applications of the derivative. We use the derivative to solve problems involving rates of change of variables that are related, to find optimal (minimum or maximum) values of cost functions or revenue functions, and to investigate properties of the graph of a function.