MATH 150 - CALCULUS WITH ANALYTIC GEOMETRY I

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• NOTES FOR CHAPTER 3

(DERIVATIVES)

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TABLE OF CONTENTS (relevant from Ch.3 on)

The notes through Section 3.6 are typed. The rest is handwritten.

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BIG FILES: Sections 3.1-3.4 (pdf) (typed) … Sections 3.5-3.6 (pdf) (typed) …  NEW! (3.7/3.8): Section 3.7 (pdf) (typed) … Section 3.8 (pdf) (typed)

SMALLER FILES (for faster download):

Section 3.1 (pdf): Derivatives, Tangent Lines, and Rates of Change

Section 3.2 (pdf): Derivative Functions and Differentiability

Website: Great interactive visuals! http://www.touchmathematics.org/topics/derivatives

Section 3.3 (pdf): Techniques of Differentiation

Section 3.4 (pdf): Derivatives of Trigonometric Functions

Section 3.5 (pdf): Differentials and Linearization of Functions

Section 3.6 (pdf): Chain Rule

Section 3.7 (pdf): Implicit Differentiation (revised 9/1/14)

Section 3.8 (pdf): Related Rates (revised 9/1/14)

Chapter 3 Review (pdf) (typed; old 2004 file; revised 9/1/14)

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ARCHIVE OF OLD HANDWRITTEN NOTES BASED ON SWOKOWSKI’S CLASSIC EDITION

Section 3.1 (pdf)Section 3.2 (pdf) • (3.2, D): On page 8 of the 3.2 notes, the notations mL and mR in the middle of the page should be switched.

Section 3.3 (pdf)Section 3.4 (pdf)Section 3.5 (pdf)Section 3.6 (pdf)Section 3.7 (pdf)Section 3.8 (pdf)

Chapter 3 Review

Chapter 3 Notes: 62 pages, plus Review

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