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Section 3.1
Extrema Intro I Intervals
Extrema Intro II Terminology
Extrema I
Extrema II
Extrema III Critical Values
Extrema Example I Polynomial
IMPORTANT NOTE: THERE IS AN ERROR IN THIS VIDEO. The solution to x-1=0 is not x = -1 (as I wrote). It is x = 1. this changes
the final result as well, since f(1) works out to be -1. Hence the Absolute minimum is at (1,-1)
Homework: Pg 171 #23 – 39 odd (omit #35) Note: For #33, the derivative does not exist at the cusp of the graph.
Review Topics to Help with Chapter 3 Homework Problems
Absolute Value and Derivatives
Section 3.1 #27, 33, 39
Section 3.1 #25, 31

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Section 3.2
Rolle’s Theorem
Mean Value Theorem
NOTE: There are no problems assigned from this section.

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Section 3.3
Increasing Decreasing Functions I
Increasing Decreasing Functions II
Increasing Decreasing Functions III
First Derivative Analysis Example I: Polynomial
First Derivative Analysis Example II: Rational
First Derivative Analysis Example III: Trigonometric
First Derivative Analysis Recap
Homework: Pg 187 #11, 15, 17, #19 – 31 odd, parts (a) & (b), #37 parts (a) & (b)
Selected Solutions:
Section 3.3 Page 187
Number 23
Number 27
Numbers 29 and 31
Numbers 41, 43, and 47

Graph Analysis Using f and f prime

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Section 3.4
Second Derivative Analysis I: Intro
Concavity
Inflection Points
Second Derivative Analysis Example I: Trigonometric
Homework: Pg 196 #5 – 13 odd, #17, 19, 21, 27, on these four items, find the inflection points, and the open intervals of concavity.
NOTE: Solutions to this Homework are Here
Second Derivative Test I: Intro Part A
Second Derivative Test II: Intro Part B
Second Derivative Test Example I: Polynomial
Second Derivative Test Example II: Polynomial
Second Derivative Test Example III: Polynomial

Second Derivative Test Example III: Polynomial – What If Scenario
Homework: Pg 196 #33, 35, 37
NOTE: Solutions to this Homework are Here

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Section 3.5
Limits at Infinity I
Limits at Infinity II
Limits at Infinity III
Limits at Infinity IIII
Homework: Pg 206 #13 – 23
NOTE: Solutions to this Homework are Here

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Section 3.7
Optimization I: Fences Down by the River
Optimization II: Fences Down by the River
Optimization III: Cut Corner Squares to Make a Box A
Optimization IIII: Cut Corner Squares to Make a Box B
SEE THE HOMEWORK BELOW. SOLUTIONS ARE COMING SOON
Here are some problems similar to the exam problems.
NOTE: Solutions to this Homework are Here