MATH 150: NOTES FOR CHAPTER 4

TABLE OF CONTENTS

• COMMENTS ON CH.4 NOTES

• Sometimes, it helps to leave f or f ' in factored form before differentiating; you would use the Product Rule.

• On page 6 of the 4.4/4.5 notes, there's a missing "3" exponent in a denominator near the bottom.

• Technically, you can have critical numbers (CNs) that correspond to endpoints on a graph, but you can't have local max or min points at endpoints.

• On all three methods on 4.6 Notes, Page 3, you should note that f is continuous on [0,15].

Section 4.1 (pdf)

• PRECALCULUS NOTES ON DOMAIN AND NONLINEAR INEQUALITIES:

Math 141: Section 2.7 in Larson

Section 4.2 (pdf)

Section 4.3 (pdf)

Section 4.4 (pdf)

Section 4.5 (pdf) (fusion of Sections 4.4 and 4.5)

Web Site: Mathematica engine graphs functions! Lots of info!

http://www.calc101.com/webMathematica/sketch.jsp

Section 4.6 (pdf)

Handout: Section 4.6 on Optimization

Section 4.7 (pdf)

Section 4.8 (pdf)

Web Site: Calculator for Newton's Method

http://www.math.sc.edu/cgi-bin/sumcgi/Newton.pl

Chapter 4 Review

Web Site: Find derivatives using a Mathematica engine!

http://www.calc101.com/webMathematica/MSP/Calc101/WalkD

Chapter 4 Notes: 51 pages

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