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ap calculus - optimization: max/min problems

originally streamed in 2019 with Suzanne Ferrell-lockeTeacher
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Learn how to solve optimization problems in AP Calculus using derivatives to find maximum and minimum values. This detailed walkthrough covers three complete examples: maximizing area with constraints, minimizing distance to a point, and optimizing b ...more

covered in this stream

units
Unit 5 – Analytical Applications of Differentiation
topics
5.10 Introduction to Optimization Problems5.11 Solving Optimization Problems5.4 Using the First Derivative Test to Determine Relative (Local) ExtremaOptimization 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

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social science

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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

career kickstart

šŸ’¼ ap business with personal financešŸ”’ ap cybersecurity

go beyond AP

high school exams

āœļø PSATšŸŽ“ Digital SATšŸŽ’ ACT

honors classes

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college classes

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