MATH 150 - CALCULUS WITH ANALYTIC GEOMETRY I

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NOTES FOR CHAPTER 4

(APPLICATIONS OF DERIVATIVES)

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TABLE OF CONTENTS (relevant from Ch.3 on)

 

SOME NEW, TYPED NOTES (7/4/15): Section 4.1 (pdf): Extrema of a Function and the EVT   Section 4.2 (pdf): Rolles Theorem and the MVT for Derivatives   Section 4.3 (pdf): The First Derivative Test (1st DT)asdf

 

BIG FILE: Chapter 4 notes (handwritten). Also, guide for 4.6: Section 4.6 on Optimization

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.

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

SMALLER FILES (if you cant get the big file):

NEW, TYPED NOTES

Section 4.1 (pdf): Extrema of a Function and the EVT   (revised 6/20/15)

PRECALCULUS NOTES ON DOMAIN AND NONLINEAR INEQUALITIES: Math 141: Section 2.7 in Larson

Section 4.2 (pdf): Rolles Theorem and the MVT for Derivatives (revised 6/20/15)

Section 4.3 (pdf): The First Derivative Test (1st DT) (revised 7/4/15)

STILL HANDWRITTEN

Section 4.4 (pdf): f

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

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

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

Section 4.6 (pdf): Optimization

My guide for 4.6: Section 4.6 on Optimization

Section 4.7 (pdf): More Applications

Section 4.8 (pdf): Newtons Method

Web Site: Calculator for Newton's Method

http://keisan.casio.com/exec/system/1244946907

 

Chapter 4 Review

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