MATH 150 - CALCULUS WITH ANALYTIC GEOMETRY I

• NOTES FOR CHAPTER 4

(APPLICATIONS OF DERIVATIVES)

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SOME NEW, TYPED NOTES (7/4/15): Section 4.1 (pdf): Extrema of a Function and the “EVT” …  Section 4.2 (pdf): Rolle’s 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

• 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 can’t 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): Rolle’s 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!

Section 4.6 (pdf): Optimization

My guide for 4.6:

Section 4.7 (pdf): More Applications

Section 4.8 (pdf): Newton’s Method

Web Site: Calculator for Newton's Method