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ap calc ab - derivative graph frqs

originally streamed in 2020 with Bob AmarTeacher
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Learn how to solve AP Calc AB free response questions using the graph of a derivative. This video walks through FRQ strategies, interpreting derivative graphs, and finding critical information about the original function from f'(x). Perfect for exam ...more

covered in this stream

units
Unit 5 – Analytical Applications of DifferentiationUnit 6 – Integration and Accumulation of ChangeExam Skills
topics
Review: Using the Graph of a Derivative FRQReview: Using the Graph of a Derivative FRQ - Stream SlidesAP Calculus Free Response Question (FRQ) Overview5.9 Connecting a Function, Its First Derivative, and its Second Derivative 5.8 Sketching Graphs of Functions and Their Derivatives5.3 Determining Intervals on Which a Function is Increasing or Decreasing5.4 Using the First Derivative Test to Determine Relative (Local) Extrema5.6 Determining Concavity6.4 The Fundamental Theorem of Calculus and Accumulation Functions6.5 Interpreting the Behavior of Accumulation Functions Involving Area

timestamps

  • 0:00

    Introduction and Social Media

  • 0:31

    Overview of Session Topics

  • 1:33

    Warm-Up Graph Analysis

  • 3:50

    Thoughts on Derivative Graph

  • 5:25

    Answering Warm-Up Questions

  • 9:59

    Graph Shape Discussion

  • 13:46

    Increasing and Decreasing Intervals

  • 19:25

    Relative Min and Max

  • 27:01

    Points of Inflection

  • 30:47

    Using Derivative Graphs

  • 32:51

    Example 1 Introduction

  • 37:02

    Tangent Line Equation

  • 41:27

    Finding Function Values

  • 46:24

    Example 2 Graph Analysis

  • 50:04

    Absolute Minimum Value

  • 52:44

    Concave Down Intervals

  • 57:57

    Second Fundamental Theorem

  • 1:00:38

    G Decreasing Intervals

  • 1:03:24

    Trapezoidal Approximation

  • 1:07:07

    Rate In/Out Problem

  • 1:10:25

    Line Increasing/Decreasing

  • 1:12:28

    Longest Line Time

  • 1:18:47

    Bonus Integral Problem

  • 1:22:56

    Evaluating Integral

  • 1:25:02

    Absolute Max of G

  • 1:28:48

    Limit Evaluation

  • 1:33:07

    Session Summary

  • 1:37:46

    Closing Remarks

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Study Content & Tools

Study GuidesFRQs + AI ScoringAP Essay Grader for StudentsAI Grading for TeachersPractice QuestionsGlossaryScore Calculators

Company

What's New?PricingBulk DiscountsTestimonialsFAQsEmail us

Resources

AP Exam Schedule 2027AP ClassesAP ClassroomEasiest AP ClassesHardest AP ClassesAP vs IBAP vs Dual EnrollmentAP vs Honors ClassesAP Scholar Awards

history

🌎 ap world history🇺🇸 ap us history🇪🇺 ap european history

social science

✊🏿 ap african american studies🗳️ ap comparative government🚜 ap human geography💶 ap macroeconomics🤑 ap microeconomics🧠 ap psychology👩🏾‍⚖️ ap us government

english & capstone

✍🏽 ap english language📚 ap english literature🔍 ap research💬 ap seminar

arts

🎨 ap art & design🖼️ ap art history🎵 ap music theory

science

🧬 ap biology🧪 ap chemistry♻️ ap environmental science🎡 ap physics 1🧲 ap physics 2💡 ap physics c: e&m⚙️ ap physics c: mechanics

math & computer science

🧮 ap calculus ab♾️ ap calculus bc📐 ap precalculus📊 ap statistics💻 ap computer science a⌨️ ap computer science p

world languages

🇨🇳 ap chinese🇫🇷 ap french🇩🇪 ap german🇮🇹 ap italian🇯🇵 ap japanese🏛️ ap latin🇪🇸 ap spanish language💃🏽 ap spanish literature

go beyond AP

high school exams

✏️ PSAT🎓 Digital SAT🎒 ACT

honors classes

🍬 honors algebra II🫀 honors anatomy🐇 honors biology👩🏽‍🔬 honors chemistry💲 honors economics📐 honors geometry⚾️ honors physics📏 honors pre-calculus📊 honors statistics🗳️ honors us government🇺🇸 honors us history🌎 honors world history

college classes

👩🏽‍🎤 arts👔 business🎤 communications🏗️ engineering📓 humanities➗ math🧑🏽‍🔬 science💶 social science

hs classes

🏛️ alabama history⛰️ appalachian studies🌴 california history🌍 earth science🌐 ethnic studies🐊 florida history🍑 georgia history🌎 global studies🌺 hawaiian studies📰 journalism🪶 native american studies🌵 new mexico history🤠 oklahoma history⚗️ physical science🎙️ speech and debate🤝 texas government🤠 texas history🌲 washington state history🕊️ world religions
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© 2026 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.