## Description

## Table of Contents

**Chapter 1: Functions **

1.1 Review of Functions

1.2 Representing Functions

1.3 Inverse, Exponential, and Logarithm Functions

1.4 Trigonometric Functions and Their Inverses

**Chapter 2: Limits**

2.1 The Idea of Limits

2.2 Definitions of Limits

2.3 Techniques for Computing Limits

2.4 Infinite Limits

2.5 Limits at Infinity

2.6 Continuity

2.7 Precise Definitions of Limits

**Chapter 3: Derivatives **

3.1 Introducing the Derivative

3.2 Rules of Differentiation

3.3 The Product and Quotient Rules

3.4 Derivatives of Trigonometric Functions

3.5 Derivatives as Rates of Change

3.6 The Chain Rule

3.7 Implicit Differentiation

3.8 Derivatives of Logarithmic and Exponential Functions

3.9 Derivatives of Inverse Trigonometric Functions

3.10 Related Rates

**Chapter 4: Applications of the Derivative**

4.1 Maxima and Minima

4.2 What Derivatives Tell Us

4.3 Graphing Functions

4.4 Optimization Problems

4.5 Linear Approximation and Differentials

4.6 Mean Value Theorem

4.7 L’Hôpital’s Rule

4.8 Antiderivatives

**Chapter 5: Integration**

5.1 Approximating Areas under Curves

5.2 Definite Integrals

5.3 Fundamental Theorem of Calculus

5.4 Working with Integrals

5.5 Substitution Rule

**Chapter 6: Applications of Integration**

6.1 Velocity and Net Change

6.2 Regions between Curves

6.3 Volume by Slicing

6.4 Volume by Shells

6.5 Length of Curves

6.6 Physical Applications

6.7 Logarithmic and exponential functions revisited

6.8 Exponential models

**Chapter 7: Integration Techniques**

7.1 Integration by Parts

7.2 Trigonometric Integrals

7.3 Trigonometric Substitution

7.4 Partial Fractions

7.5 Other Integration Strategies

7.6 Numerical Integration

7.7 Improper Integrals

7.8 Introduction to Differential Equations

**Chapter 8: Sequences and Infinite Series**

8.1 An Overview

8.2 Sequences

8.3 Infinite Series

8.4 The Divergence and Integral Tests

8.5 The Ratio and Comparison Tests

8.6 Alternating Series

**Chapter 9: Power Series**

9.1 Approximating Functions with Polynomials

9.2 Power Series

9.3 Taylor Series

9.4 Working with Taylor Series

**Chapter 10: Parametric and Polar Curves **

10.1 Parametric Equations

10.2 Polar Coordinates

10.3 Calculus in Polar Coordinates

10.4 Conic Sections

Enhance your learning experience with ** text-specific** study materials.

Student Solutions Manual, Single Variable for Calculus: Early Transcendentals

ISBN-13: 978-0-321-66410-5

$40.00 | Add to Cart

### These online resources are available at no cost.

Companion Website for Calculus

This title is also sold in the various packages listed below. Before purchasing one of these packages, speak with your professor about which one will help you be successful in your course.

Package ISBN-13: 9780321724540

Includes this title packaged with:

- MathXL -- Valuepack Access Card (12-month access), 2nd Edition

. . Pearson Education

$136.00 | Add to Cart

Package ISBN-13: 9780321966674

Includes this title packaged with:

- Just-in-Time Algebra and Trigonometry for Early Transcendentals Calculus, 4th Edition

Guntram Mueller, Ronald I. Brent

$136.00 | Add to Cart

Package ISBN-13: 9780321956187

Includes this title packaged with:

- Maple Student Access Code Package

. Waterloo Maple, Inc. - MyMathLab -- Valuepack Access Card

. . Pearson Education

$152.00 | Add to Cart

## Purchase Info

### Digital Choices

#### MyLab & Mastering ?

MyLab & Mastering products deliver customizable content and highly personalized study paths, responsive learning tools, and real-time evaluation and diagnostics. MyLab & Mastering products help move students toward the moment that matters most—the moment of true understanding and learning.

Buy AccessMyMathLab with eBook -- Instant Access -- for Calculus: Early Transcendentals

$95.20 | ISBN-13: 978-0-321-66446-4

### Print Choices

#### Loose Leaf Version ?

Books a la Carte are less-expensive, loose-leaf versions of the same textbook.

Calculus: Early Transcendentals, Single Variable, Books a la Carte Edition

$79.73 | ISBN-13: 978-0-321-69295-5