Chapter 4 Videos

Section 4.1

  • Lesson 1: Finding Extreme Values on Closed Intervals

  • Review / Handy Trick: Working with Rational Exponents and Factoring for Critical Points (you will use this over and over)

  • Review: Problems Focusing ONLY on How to Factor out Fractions/Rational Exponents from Expressions

Section 4.2

Section 4.3

  • Lesson 1: Increasing and Decreasing Functions and The First Derivative Test

  • Examples: Finding Critical Points/Increasing/Decreasing/Extrema when the first derivative is given

  • Examples: Finding Critical Points/Increasing/Decreasing/Extrema (basic examples)

  • Examples: Finding Critical Points/Increasing/Decreasing/Extrema (harder examples)

  • Examples: Finding Critical Points/Increasing/Decreasing/Extrema for a Function with Rational Exponents (this was a popular question that many found difficult)

  • Review / Handy Trick: Working with Rational Exponents and Factoring for Critical Points (you will use this over and over)

  • Review: Problems Focusing ONLY on How to Factor out Fractions/Rational Exponents from Expressions

Section 4.4 - the MyMathLab homework makes this too easy, in reality for the exam you will want to be able to sketch all the parts that are shown in the examples so plan accordingly … sketching graphs takes a long time, it’s just how it goes!

  • Part 1: Concavity and the Second Derivative Test for Concavity

  • Examples: Concavity and the Second Derivative Test for Concavity

  • Lesson 2: The Second Derivative Test for Extrema (finding max/mins with second derivatives)

  • Examples: The Second Derivative Test for Extrema (finding max/mins with second derivatives)

  • Lesson 3: Curve Sketching in Full Detail, then watch as many example videos as needed

  • Review: How to Find Oblique Asymptotes (in case you forgot)

  • Examples: Curve Sketching a Polynomial

  • Examples: Curve Sketching a Trigonometric Function

  • Review / Handy Trick: Working with Rational Exponents and Factoring for Critical Points (you will use this over and over)

  • Review: Problems Focusing ONLY on How to Factor out Fractions/Rational Exponents from Expressions

  • Examples: Curve Sketching with a Cusp

  • Examples: Curve Sketching with a Tricky Exponential Function involve e^x and e^-x

  • Part 4: Sketching Curves when you only know y’

Section 4.5

  • Part 1: An Intro to L’Hopital’s Rule

  • Part 2: L’Hopital’s Rule and Indeterminate Forms Involving Infinity

  • Part 3: L’Hopital’s Rule and Indeterminate Powers (using LN)

  • Review: A Quick Review Logarithms and Properties of Logarithms for Calc Students

  • Part 4: What Happens if L’Hopital’s Rule Does Not Work (or keeps cycling)?

  • Examples: Lots and Lots of Examples of L’Hopital’s Rule

  • Summary: Everything About L’Hopital’s Rule, summarized in one place

Section 4.6

  • Optimization Examples 1: Maximizing the Volume of a Box

  • Optimization Examples 2: Maximizing the Area of a Rectangle in a Parabola

  • Optimization Examples 3: Maximizing the Volume of a Right Circular Cylinder in a Right Circular Cone

  • Summary of Everything about Max/Min/Concavity/Graphing/Optimization

Section 4.7

Section 4.8

  • Lesson 1: An Quick Overview of Antiderivatives, Indefinite Integrals, and Differential Equations

  • Examples: Basic Antiderivatives and Indefinite Integrals

  • Examples: More Complicated and Commonly Missed Indefinite Integrals

  • Examples: Differential Equations and Initial Value Problems