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Calculus with Applications, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to help them learn the material, such as Warm-Up Exercises and added "help textö within examples.



This title is a Pearson Global Edition. The Editorial team at Pearson has worked closely with educators around the world to include content which is especially relevant to students outside the United States.

A wide variety of applications reference real data from articles in newspapers, journals, and websites. Examples and exercises with recent data help students learn how the mathematics is applied to their field of study, immediately addressing the question, "Why are we learning this?ö NEW! The authors have added or updated 157 (15.9%) of the application exercises throughout the text..
Apply It opens most sections with a provocative, real-world oriented question that is addressed in the exposition and exercises.
Applied exercises are grouped by type of application and highlighted for easy identification.
Extended Applications appear at the end of all chapters to stimulate student interest and foster in-depth learning. Directions for Group Projects in the Extended Applications provide an opportunity for cooperative learning.
Index of Applications provides instructors and students with an overview of the types of applications throughout the book.
Application exercises within MyMathLab are labeled by type of application.
Assessment and remediation features appear at key points to ensure that students keep up with the material, and provide plenty of pointers to help those who fall behind.
"Your Turnö exercises following selected examples provide students with an easy way to stop and check their understanding of the skill or concept being presented. Answers are provided at the end of the section's exercises.
NEW! Warm-Up exercises were added to many exercise sets to provide an opportunity for students to refresh key prerequisite skills at "point of use.ö Each exercise includes a note about where students can go for help if needed.
The Prerequisite Skills Diagnostic Test, just prior to Chapter R, gives students and instructors an opportunity to assess students' skills on topics that are critical to success in this course. Answers refer to specific review material in the text for targeted remediation.
An Algebra Reference chapter appears at the beginning of the text, allowing students to brush up on their algebra skills.
"For Reviewö boxes in the margin provide immediate review, or refer students back to appropriate sections as needed.
"Help textö annotations, set in small blue type, appear next to the steps within worked-out examples and provide an additional aid for students with weaker algebra skills. Many more have been added in this edition.
Chapter Summaries include important concepts, rules, and formulas, helping students review what they have learned.
Caution notes warn students of common errors/misconceptions and Note boxes offer additional useful information. Both are highlighted for easy reference.
Diverse exercise sets show how math is used in students' major courses of study-business, life science, and social sciences.
Connection Exercises integrate topics/concepts from different sections. These are denoted with an icon.
Writing Exercises provide students with an opportunity to write about important mathematical ideas. These are denoted with an icon.
Technology Exercises, denoted with an icon, explore concepts using a graphing calculator or spreadsheet.
Concept Check exercises in the Chapter Reviews help students verify their understanding of important topics.
Reference Tables for Exercises appear in the back of the book. These tables correlate homework exercises to a helpful example in the text.
Technology coverage keeps your classroom and students up-to-date with the latest software and technology options available on the market.
The design makes it easy to identify technology coverage so instructors can more easily highlight (or skip) the material.
Excel® Spreadsheets are included in examples and exercises where appropriate, allowing students to work problems that closely relate to real-life and business situations.
Graphing Calculator discussions are included in many examples, but are not essential for understanding the text. NEW! Graphing calculator screens have been updated to reflect the TI-84 Plus C, which features a higher-resolution color screen.
Technology Notes Material on graphing calculators or Microsoft Excel is clearly labeled to make it easier for instructors to use this material (or not).



Table of Contents
R. Algebra Reference

R-1 Polynomials

R-2 Factoring

R-3 Rational Expressions

R-4 Equations

R-5 Inequalities

R-6 Exponents

R-7 Radicals

1. Linear Functions

1-1 Slopes and Equations of Lines

1-2 Linear Functions and Applications

1-3 The Least Squares Line

Chapter Review

Extended Application: Using Extrapolation to Predict Life Expectancy

2. Nonlinear Functions

2-1 Properties of Functions

2-2 Quadratic Functions; Translation and Reflection

2-3 Polynomial and Rational Functions

2-4 Exponential Functions

2-5 Logarithmic Functions

2-6 Applications: Growth and Decay; Mathematics of Finance

Chapter Review

Extended Application: Characteristics of the Monkeyface Prickleback

3. The Derivative

3-1 Limits

3-2 Continuity

3-3 Rates of Change

3-4 Definition of the Derivative

3-5 Graphical Differentiation

Chapter 3 Review

Extended Application: A Model for Drugs Administered Intravenously

4. Calculating the Derivative

4-1 Techniques for Finding Derivatives

4-2 Derivatives of Products and Quotients

4-3 The Chain Rule

4-4 Derivatives of Exponential Functions

4-5 Derivatives of Logarithmic Functions

Chapter Review

Extended Application: Electric Potential and Electric Field

5. Graphs and the Derivative

5-1 Increasing and Decreasing Functions

5-2 Relative Extrema

5-3 Higher Derivatives, Concavity, and the Second Derivative Test

5-4 Curve Sketching

Chapter Review

Extended Application: A Drug Concentration Model for Orally Administered

Medications

6. Applications of the Derivative

6-1 Absolute Extrema

6-2 Applications of Extrema

6-3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand

6-4 Implicit Differentiation

6-5 Related Rates

6-6 Differentials: Linear Approximation

Chapter Review

Extended Application: A Total Cost Model for a Training Program

7. Integration

7-1 Anti