Elementary Calculus - mecmath

ElementaryCalculus0v20gv202gMichael CorralElementary CalculusMichael CorralSchoolcraft CollegeAbout the author:Michael Corral is an Adjunct Faculty member of the Department of Mathematics at School-craft College. He received a in Mathematics from the University of California, Berkeley,and received an in Mathematics and an in Industrial& Operations Engineeringfrom the University of text was typeset in LATEX with theKOMA-Scriptbundle, using the GNU Emacstext editor on a Fedora Linux system. The graphics were created using TikZ and 2020 Michael is granted to copy, distribute and/or modify this document under the terms of theGNU Free Documentation License, Version or any later version published by the FreeSoftware Foundation; with no Invariant Sections, no Front-Cover Texts, and no book covers Calculus of a single variable. It is suitable for a year-long (or two-semester)course, normally known as Calculus I and II in the United States. The prerequisites are highschool or college algebra, geometry and trigonometry.

CHAPTER 1 The Derivative 1.1 Introduction Calculus can be thought of as the analysis of curved shapes.1 Its development grew out of attempts to solve physical problems. For example, suppose that an object at rest 100 ft above

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