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ap calculus - optimization problems

originally streamed in 2019 with Suzanne Ferrell-lockeTeacher
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Learn how to solve optimization problems in AP Calculus with clear strategies and step-by-step examples. This review session covers identifying keywords, setting up equations, finding critical points, and testing for max/min values. You'll work thro ...more

covered in this stream

units
Unit 5 – Analytical Applications of Differentiation
topics
Optimization Problems5.10 Introduction to Optimization Problems5.11 Solving Optimization Problems5.3 Determining Intervals on Which a Function is Increasing or Decreasing5.4 Using the First Derivative Test to Determine Relative (Local) Extrema

timestamps

  • 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

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social science

āœŠšŸæ ap african american studiesšŸ—³ļø ap comparative government🚜 ap human geographyšŸ’¶ ap macroeconomicsšŸ¤‘ ap microeconomics🧠 ap psychologyšŸ‘©šŸ¾ā€āš–ļø ap us government

english & capstone

āœšŸ½ ap english languagešŸ“š ap english literaturešŸ” ap researchšŸ’¬ ap seminar

arts

šŸŽØ ap art & designšŸ–¼ļø ap art historyšŸŽµ ap music theory

science

🧬 ap biology🧪 ap chemistryā™»ļø ap environmental sciencešŸŽ” ap physics 1🧲 ap physics 2šŸ’” ap physics c: e&māš™ļø ap physics c: mechanics

math & computer science

🧮 ap calculus abā™¾ļø ap calculus bcšŸ“ ap precalculusšŸ“Š ap statisticsšŸ’» ap computer science aāŒØļø ap computer science p

world languages

šŸ‡ØšŸ‡³ ap chinesešŸ‡«šŸ‡· ap frenchšŸ‡©šŸ‡Ŗ ap germanšŸ‡®šŸ‡¹ ap italianšŸ‡ÆšŸ‡µ ap japanesešŸ›ļø ap latinšŸ‡ŖšŸ‡ø ap spanish languagešŸ’ƒšŸ½ ap spanish literature

go beyond AP

high school exams

āœļø PSATšŸŽ“ Digital SATšŸŽ’ ACT

honors classes

šŸ¬ honors algebra IIšŸ«€ honors anatomyšŸ‡ honors biologyšŸ‘©šŸ½ā€šŸ”¬ honors chemistryšŸ’² honors economicsšŸ“ honors geometryāš¾ļø honors physicsšŸ“ honors pre-calculusšŸ“Š honors statisticsšŸ—³ļø honors us governmentšŸ‡ŗšŸ‡ø honors us historyšŸŒŽ honors world history

college classes

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hs classes

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