About the cover: The cover image of a tree line on a snow-swept landscape, by the photographer Michael Kenna,
was taken in Hokkaido, Japan. The artist was not thinking of calculus when he composed the image, but rather, of a
visual haiku consisting of a few elements that would spark the viewer’s imagination. Similarly, the minimal design
of this text allows the central ideas of calculus developed in this book to unfold to ignite the learner’s imagination.
For permission to use copyrighted material, grateful acknowledgment is made to the copyright holders on page C-1,
which is hereby made part of this copyright page.
Many of the designations used by manufacturers and sellers to distinguish their products are claimed as trademarks.
Where those designations appear in this book, and Addison-Wesley was aware of a trademark claim, the designa-
tions have been printed in initial caps or all caps.
Library of Congress Cataloging-in-Publication Data
Weir, Maurice D.
Thomas’ calculus : early transcendentals / Maurice D. Weir, Joel Hass, George B. Thomas.—12th ed.
p. cm
Includes index.
ISBN 978-0-321-58876-0
1. Calculus—Textbooks. 2. Geometry, Analytic—Textbooks. I. Hass, Joel. II. Thomas, George B. (George
Brinton), 1914–2006. III. Title IV. Title: Calculus.
QA303.2.W45 2009
515—dc22 2009023070
Functions 1
1
1.1 Functions and Their Graphs 1
1.2 Combining Functions; Shifting and Scaling Graphs 14
1.3 Trigonometric Functions 22
1.4 Graphing with Calculators and Computers 30
1.5 Exponential Functions 34
1.6 Inverse Functions and Logarithms 40
QUESTIONS TO GUIDE YOUR REVIEW 52
PRACTICE EXERCISES 53
ADDITIONAL AND ADVANCED EXERCISES 55
Limits and Continuity 58
2
2.1 Rates of Change and Tangents to Curves 58
2.2 Limit of a Function and Limit Laws 65
2.3 The Precise Definition of a Limit 76
2.4 One-Sided Limits 85
2.5 Continuity 92
2.6 Limits Involving Infinity; Asymptotes of Graphs 103
QUESTIONS TO GUIDE YOUR REVIEW 116
PRACTICE EXERCISES 117
ADDITIONAL AND ADVANCED EXERCISES 119
Differentiation 122
3
3.1 Tangents and the Derivative at a Point 122
3.2 The Derivative as a Function 126
iii
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