James-Stewart-Calculus-Early-Transcendentals-7th-Edition-2012-1
Calculus: Early Transcendentals Seventh Edition. James Stewart. Printed in the United States of America. 1 2 3 4 5 6 7 14 13 12 11 10. Trademarks.
Stewart - Calculus - Early Transcedentals 6e
Any additional questions about permissions can be submitted by email to thomsonrights@thomson.com. K05T07. Calculus Early Transcendentals 6e. James Stewart
Calculus: Early Transcendentals 7th ed.
Calculus: Early Transcendentals Seventh Edition. James Stewart. Printed in the United States of America. 1 2 3 4 5 6 7 14 13 12 11 10. Trademarks.
Single and Multivariable Calculus
Calculus. Early Transcendentals The book includes some exercises and examples from Elementary Calculus: An ... The Fundamental Theorem of Calculus .
Single and Multivariable Calculus
Calculus. Early Transcendentals The book includes some exercises and examples from Elementary Calculus: An ... The Fundamental Theorem of Calculus .
Single Variable Calculus
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What is early transcendentals in calculus?
Early transcendentals: introduce polynomials, rational functions, exponentials, logarithms, and trigonometric functions at the beginning of the course and use them as examples when developing differential calculus.What is essential calculus early transcendentals 2?
ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS, Second Edition, offers a concise approach to teaching calculus that focuses on major concepts, and supports those concepts with precise definitions, patient explanations, and carefully graded problems.- Early transcendentals means it has review at the beginning and late transcendentals or if the book doesn't say anything me and that it has no review and jumps right in. Early transcendentals books will usually cost more than others because it has that extra review part in it.
Single Variable Calculus
Early Transcendentals
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License. To view a copy of this license, visit or send a letter toCreative Commons, 543 Howard Street, 5th Floor, San Francisco, California, 94105, USA. If you distribute
this work or a derivative, include the history of the document.This text was initially written by David Guichard. The single variable material in chapters 1-9 is a mod-
ification and expansion of notes written by Neal Koblitz at the University of Washington, who generously
gave permission to use, modify, and distribute his work. New material has been added, and old material
has been modified, so some portions now bear little resemblance to the original. The book includes some exercises and examples fromElementary Calculus: An Approach Using Infinitesi- mals, by H. Jerome Keisler, available at under a CreativeCommons license. In addition, the chapter on differential equations (in the multivariable version) and the
section on numerical integration are largely derived from the corresponding portions of Keisler's book.
Some exercises are from the OpenStax Calculus books, available free at https://openstax.org/subjects/math Albert Schueller, Barry Balof, and Mike Wills have contributed additional material. This copy of the text was compiled from source at 11:43 on 8/22/2023.The current version of the text is available at
I will be glad to receive corrections and suggestions for improvement atguichard@whitman.edu.For Kathleen,
without whose encouragement this book would not have been written.Contents
1Analytic Geometry
131.1Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
141.2Distance Between Two Points; Circles . . . . . . . . . . . . . . .
191.3Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
201.4Shifts and Dilations . . . . . . . . . . . . . . . . . . . . . . . .
252
Instantaneous Rate of Change: The Derivative
292.1The slope of a function . . . . . . . . . . . . . . . . . . . . . .
292.2An example . . . . . . . . . . . . . . . . . . . . . . . . . . . .
342.3Limits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
362.4The Derivative Function . . . . . . . . . . . . . . . . . . . . .
462.5Properties of Functions . . . . . . . . . . . . . . . . . . . . . .
515
6Contents
3Rules for Finding Derivatives
553.1The Power Rule . . . . . . . . . . . . . . . . . . . . . . . . .
553.2Linearity of the Derivative . . . . . . . . . . . . . . . . . . . .
583.3The Product Rule . . . . . . . . . . . . . . . . . . . . . . . .
603.4The Quotient Rule . . . . . . . . . . . . . . . . . . . . . . . .
623.5The Chain Rule . . . . . . . . . . . . . . . . . . . . . . . . . .
654
Transcendental Functions
714.1Trigonometric Functions . . . . . . . . . . . . . . . . . . . . .
714.2The Derivative of sinx. . . . . . . . . . . . . . . . . . . . . .
744.3A hard limit . . . . . . . . . . . . . . . . . . . . . . . . . . .
754.4The Derivative of sinx, continued . . . . . . . . . . . . . . . . .
784.5Derivatives of the Trigonometric Functions . . . . . . . . . . . .
794.6Exponential and Logarithmic functions . . . . . . . . . . . . . .
804.7Derivatives of the exponential and logarithmic functions . . . . .
824.8Implicit Differentiation . . . . . . . . . . . . . . . . . . . . . .
874.9Inverse Trigonometric Functions . . . . . . . . . . . . . . . . .
924.10Limits revisited . . . . . . . . . . . . . . . . . . . . . . . . . .
954.11 Hyperbolic Functions . . . . . . . . . . . . . . . . . . . . . . 100
5
Curve Sketching
1055.1Maxima and Minima . . . . . . . . . . . . . . . . . . . . . .
1055.2The first derivative test . . . . . . . . . . . . . . . . . . . . .
1095.3The second derivative test . . . . . . . . . . . . . . . . . . .
1115.4Concavity and inflection points . . . . . . . . . . . . . . . . .
1125.5Asymptotes and Other Things to Look For . . . . . . . . . . .
114Contents7
6Applications of the Derivative
1176.1Optimization . . . . . . . . . . . . . . . . . . . . . . . . . .
1176.2Related Rates . . . . . . . . . . . . . . . . . . . . . . . . .
1296.3Newton's Method . . . . . . . . . . . . . . . . . . . . . . . .
1376.4Linear Approximations . . . . . . . . . . . . . . . . . . . . .
1416.5The Mean Value Theorem . . . . . . . . . . . . . . . . . . .
1437
Integration
1477.1Two examples . . . . . . . . . . . . . . . . . . . . . . . . .
1477.2The Fundamental Theorem of Calculus . . . . . . . . . . . . .
1517.3Some Properties of Integrals . . . . . . . . . . . . . . . . . .
1588
Techniques of Integration
1638.1Substitution . . . . . . . . . . . . . . . . . . . . . . . . . .
1648.2Powers of sine and cosine . . . . . . . . . . . . . . . . . . . .
1698.3Trigonometric Substitutions . . . . . . . . . . . . . . . . . . .
1718.4Integration by Parts . . . . . . . . . . . . . . . . . . . . . .
1748.5Rational Functions . . . . . . . . . . . . . . . . . . . . . . .
1788.6Numerical Integration . . . . . . . . . . . . . . . . . . . . . .
1828.7Additional exercises . . . . . . . . . . . . . . . . . . . . . . .
1878Contents
9Applications of Integration
1899.1Area between curves . . . . . . . . . . . . . . . . . . . . . .
1899.2Distance, Velocity, Acceleration . . . . . . . . . . . . . . . . .
1949.3Volume . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1979.4Average value of a function . . . . . . . . . . . . . . . . . . .
2049.5Work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2079.6Center of Mass . . . . . . . . . . . . . . . . . . . . . . . . .
2119.7Kinetic energy; improper integrals . . . . . . . . . . . . . . .
2169.8Probability . . . . . . . . . . . . . . . . . . . . . . . . . . .
2209.9Arc Length . . . . . . . . . . . . . . . . . . . . . . . . . . .
2309.10Surface Area . . . . . . . . . . . . . . . . . . . . . . . . . .
23210
Polar Coordinates, Parametric Equations
23710.1Polar Coordinates . . . . . . . . . . . . . . . . . . . . . . .
23710.2Slopes in polar coordinates . . . . . . . . . . . . . . . . . . .
24110.3Areas in polar coordinates . . . . . . . . . . . . . . . . . . .
24310.4Parametric Equations . . . . . . . . . . . . . . . . . . . . . .
24610.5Calculus with Parametric Equations . . . . . . . . . . . . . .
249Contents9
11Sequences and Series
25311.1Sequences . . . . . . . . . . . . . . . . . . . . . . . . . . . .
25411.2Series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
26011.3The Integral Test . . . . . . . . . . . . . . . . . . . . . . . .
26411.4Alternating Series . . . . . . . . . . . . . . . . . . . . . . . .
26911.5Comparison Tests . . . . . . . . . . . . . . . . . . . . . . . .
27111.6Absolute Convergence . . . . . . . . . . . . . . . . . . . . .
27411.7The Ratio and Root Tests . . . . . . . . . . . . . . . . . . .
27511.8Power Series . . . . . . . . . . . . . . . . . . . . . . . . . .
27811.9Calculus with Power Series . . . . . . . . . . . . . . . . . . .
28111.10Taylor Series . . . . . . . . . . . . . . . . . . . . . . . . . .
28311.11Taylor's Theorem . . . . . . . . . . . . . . . . . . . . . . . .
28611.12Additional exercises . . . . . . . . . . . . . . . . . . . . . . .
292A
Selected Answers
295B
Useful Formulas
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