Calculus

by Hughes-Hallett, Deborah

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Title Statements

Full title :Calculus.

Edition Statements

Publication Date:2016.
Edition:7th ed

Publication Statements

Publisher(s):Wiley
Place of Publication:New York
Language:eng
Publication Date:2016.

Notes

5.1 HOW DO WE MEASURE DISTANCE TRAVELED?

The Physical Object

Description:1 online resource (1173 pages)

Edition Identifiers

ISBN:9781119381211, 1119381215, 1119139368, 9781119139362
oclc:ocn973186816
LC Classification:QA303
Dewey Decimal:515

Cover; Title Page; Copyright; Preface; Acknowledgements; Contents; 1 FOUNDATION FOR CALCULUS: FUNCTIONS AND LIMITS ; 1.1 FUNCTIONS AND CHANGE ; 1.2 EXPONENTIAL FUNCTIONS ; 1.3 NEW FUNCTIONS FROM OLD ; 1.4 LOGARITHMIC FUNCTIONS ; 1.5 TRIGONOMETRIC FUNCTIONS ; 1.6 POWERS, POLYNOMIALS, AND RATIONAL FUNCTIONS.

1.7 INTRODUCTION TO LIMITS AND CONTINUITY 1.8 EXTENDING THE IDEA OF A LIMIT ; 1.9 FURTHER LIMIT CALCULATIONS USING ALGEBRA ; 2 KEY CONCEPT: THE DERIVATIVE ; 2.1 HOW DO WE MEASURE SPEED? ; 2.2 THE DERIVATIVE AT A POINT ; 2.3 THE DERIVATIVE FUNCTION.

2.4 INTERPRETATIONS OF THE DERIVATIVE 2.5 THE SECOND DERIVATIVE ; 2.6 DIFFERENTIABILITY ; 3 SHORT-CUTS TO DIFFERENTIATION ; 3.1 POWERS AND POLYNOMIALS ; 3.2 THE EXPONENTIAL FUNCTION ; 3.3 THE PRODUCT AND QUOTIENT RULES ; 3.4 THE CHAIN RULE ; 3.5 THE TRIGONOMETRIC FUNCTIONS.

3.6 THE CHAIN RULE AND INVERSE FUNCTIONS 3.7 IMPLICIT FUNCTIONS ; 3.8 HYPERBOLIC FUNCTIONS ; 3.9 LINEAR APPROXIMATION AND THE DERIVATIVE ; 3.10 THEOREMS ABOUT DIFFERENTIABLE FUNCTIONS ; 4 USING THE DERIVATIVE ; 4.1 USING FIRST AND SECOND DERIVATIVES ; 4.2 OPTIMIZATION.

4.3 OPTIMIZATION AND MODELING 4.4 FAMILIES OF FUNCTIONS AND MODELING ; 4.5 APPLICATIONS TO MA…

Subjects

Writers

Hughes-Hallett, Deborah Flath, Daniel E. Gleason, Andrew M. Gordon, Sheldon P. Lock, Patti Frazer Lomen, David O. Lovelock, David McCallum, William G. Osgood, Brad G. Pasquale, Andrew