ap calculus - optimization: max/min problems

timestamps

• 0:00

  Introduction to Optimization

• 0:30

  Defining Optimization

• 1:33

  Keywords for Problems

• 3:11

  Solving Strategy Overview

• 3:41

  Drawing Diagrams

• 4:44

  Writing Equations

• 5:15

  Finding Max and Min

• 6:26

  First Example: Playyard Fence

• 8:07

  Diagram and Variables

• 10:24

  Area Equation Setup

• 13:43

  Derivative and Critical Points

• 15:51

  First Derivative Test

• 17:59

  Dimensions Calculation

• 21:59

  Second Example: Closest Point

• 23:32

  Graph and Distance Formula

• 26:25

  Substitute and Simplify

• 28:33

  Chain Rule Derivative

• 32:19

  Critical Points Analysis

• 36:47

  Test Intervals

• 39:54

  Confirm Minimum Point

• 41:34

  Third Example: Box Dimensions

• 43:44

  Surface Area Equation

• 45:50

  Volume Auxiliary Equation

• 48:36

  Derivative Setup

• 51:20

  Find Critical Numbers

• 53:02

  Confirm Minimum

• 55:51

  Optimization Advice

• 57:41

  Closing Remarks