ap calculus - optimization problems

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• 0:00

  Welcome and Introduction

• 0:40

  Poll on Optimization Coverage

• 1:47

  Starting the Stream

• 2:18

  Defining Optimization

• 3:20

  Keywords for Optimization Problems

• 4:56

  General Strategy Overview

• 5:26

  Understanding the Problem

• 5:58

  Drawing Diagrams

• 6:30

  Writing Equations

• 7:30

  Finding Max and Min

• 8:32

  First Example: Playyard Fence

• 10:11

  Labeling Diagram

• 12:26

  Area Equation Setup

• 15:19

  Derivative and Critical Points

• 17:23

  Number Line Test

• 20:49

  Dimensions Calculation

• 24:03

  Second Example: Closest Point

• 25:37

  Graphing the Line

• 26:48

  Distance Formula

• 29:37

  Auxiliary Equation

• 30:37

  Simplifying for Derivative

• 33:18

  Derivative Calculation

• 35:19

  Critical Points

• 38:21

  Number Line and Testing

• 42:33

  Point Coordinates

• 43:39

  Third Example: Box Dimensions

• 44:46

  Optimizing Surface Area

• 46:20

  Box Diagram and Variables

• 47:22

  Surface Area Equation

• 47:55

  Volume Auxiliary Equation

• 49:07

  Rewriting for Power Rule

• 52:17

  Corrected Derivative

• 53:24

  Critical Points

• 55:07

  Confirming Minimum

• 56:11

  Box Dimensions

• 57:15

  General Optimization Advice

• 58:58

  Final Questions

• 1:00:16

  Closing Remarks