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  3. AP Calculus AB - Existence Theorems: IVT, EVT & MVT

ap calculus ab - existence theorems: ivt, evt & mvt

originally streamed in 2020 with Meghan DwyerTeacher
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Learn how the Intermediate Value Theorem, Extreme Value Theorem, and Mean Value Theorem work in AP Calculus AB. This video walks through the conditions each theorem needs, how to apply them in problems, and why they show up on the AP exam. You'll ex ...more

curriculum note

This video references the 2020 COVID-era AP exam format (only 2 FRQs, certain units removed, online submission). The current AP Calculus AB/BC exam format is different — please check the College Board website for up-to-date exam information.

covered in this stream

units
Unit 1 – Limits and ContinuityUnit 5 – Analytical Applications of Differentiation
topics
1.16 Working with the Intermediate Value Theorem (IVT Calc)Existence Theorems5.1 Using the Mean Value Theorem5.2 Extreme Value Theorem, Global vs Local Extrema, and Critical Points

timestamps

  • 0:00

    Introduction and Welcome

  • 0:37

    AP Exam Changes Overview

  • 2:15

    Exam Format and Submission

  • 3:47

    Exam Points and Credit

  • 5:21

    Topics Covered on Exam

  • 6:52

    Units Removed from Exam

  • 8:56

    Agenda and Existence Theorems

  • 9:58

    Why Called Existence Theorems

  • 11:01

    Intermediate Value Theorem

  • 15:05

    Extreme Value Theorem

  • 18:43

    Mean Value Theorem

  • 20:18

    Proving Differentiability

  • 21:51

    Identifying Theorems Practice

  • 23:29

    IVT Example Explanation

  • 26:06

    Applying IVT Justification

  • 28:21

    EVT Example and Clues

  • 30:30

    Differentiability vs Continuity

  • 33:06

    MVT in Real-World Scenario

  • 35:51

    Average vs Instantaneous Rate

  • 39:08

    Practice FRQ Introduction

  • 41:21

    FRQ Part A: MVT Application

  • 45:03

    FRQ Part B: Chain Rule

  • 49:16

    FRQ Part B: MVT for Second Derivative

  • 51:54

    FRQ Part C: Points of Inflection

  • 57:24

    Finding Second Derivative

  • 1:00:34

    FRQ Part C Justification

  • 1:01:04

    FRQ Part D: IVT Application

  • 1:04:12

    IVT Graph Explanation

  • 1:05:45

    FRQ Part D Procedure

  • 1:08:51

    Exam Prep Recommendations

  • 1:09:52

    Final Questions and Wrap-Up

  • 1:11:24

    Session Conclusion

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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

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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