free diagnosticupgrade
  1. browse cram archives
  2. ap calculus ab/bc
  3. AP Calculus - Justifying FRQs: MVT, IVT & Derivatives

ap calculus - justifying frqs: mvt, ivt & derivatives

originally streamed in 2019 with Brandon WuStudent
subscribe
Learn how to justify and explain your answers on AP Calculus FRQs with clear strategies that help you earn full credit. This video breaks down what graders look for, the language to use, and how to communicate your mathematical reasoning effectively ...more

curriculum note

This video references a 2-FRQ, 45-minute online exam format from the 2020 COVID administration, which no longer applies. The current AP Calculus FRQ section contains 6 free-response questions.

covered in this stream

units
AP Calculus AB/BC Exams
topics
Justifying and Explaining Your AnswersAP Calculus Free Response Question (FRQ) OverviewPresentation Slides, Justifying and Explaining your answers

timestamps

  • 0:00

    Introduction and Agenda

  • 0:32

    Justifying Answers Overview

  • 1:02

    Types of FRQs

  • 2:04

    Derivative Reminders

  • 3:05

    Concavity and Inflection

  • 3:37

    Justifying Continuity

  • 4:08

    Riemann Sums Review

  • 5:11

    Riemann Sum Examples

  • 5:41

    Trapezoidal Approximations

  • 6:43

    Theorems Introduction

  • 8:14

    Intermediate Value Theorem

  • 9:17

    Extreme Value Theorem

  • 10:19

    Mean Value Theorem

  • 11:55

    Rolle's Theorem

  • 13:31

    Justification Tips

  • 15:06

    In and Out Practice

  • 18:47

    Graph of Derivative Practice

  • 20:21

    Decreasing and Concave Down

  • 25:31

    Absolute Minimum Calculation

  • 27:03

    Finding f(0)

  • 30:14

    Integral Setup

  • 34:27

    Finding f(4)

  • 37:33

    Student Practice Session

  • 39:07

    Reviewing Min/Max Responses

  • 43:16

    Inflection Points Practice

  • 47:56

    Resources and Wrap-Up

more on these topics
AP Calculus - Derivatives & Exam Strategies

2:03

AP Calculus - Derivatives & Exam Strategies

2021 · Meghan Dwyer

AP Calculus CRAM – FRQs & Test Strategies

AP Calculus CRAM – FRQs & Test Strategies

2020 · Jamil Siddiqui

AP Calculus CRAM – Tabular FRQs

1:01:02

AP Calculus CRAM – Tabular FRQs

2020 · Jamil Siddiqui

AP Calculus - Q&A: FRQ Scoring & Exam Reader Tips

1:12:43

AP Calculus - Q&A: FRQ Scoring & Exam Reader Tips

2020 · Mark Howell & Bryan Passwater

AP Calc AB - Derivative Graph FRQs

1:38:00

AP Calc AB - Derivative Graph FRQs

2020 · Bob Amar

up next in ap calculus ab/bc
AP Calculus - Preview Session: Exam Prep & Study Tips

1:02:22

AP Calculus - Preview Session: Exam Prep & Study Tips

2024 · Jude St John

AP Calculus CRAM – Related Rates & Implicit Differentiation

5:00:44

AP Calculus CRAM – Related Rates & Implicit Differentiation

2020

AP Calculus - Q&A: Differential Equations & Slope Fields

1:09:44

AP Calculus - Q&A: Differential Equations & Slope Fields

2020 · Leen & Jacob

AP Calculus CRAM – Separable Differential Equations

1:06:12

AP Calculus CRAM – Separable Differential Equations

2020

AP Calculus AB - Interpreting Derivatives & Integrals

1:00:39

AP Calculus AB - Interpreting Derivatives & Integrals

2020 · Meghan Dwyer

more from Brandon Wu
AP English Language - Argument Body Paragraphs

43:38

AP English Language - Argument Body Paragraphs

2020 · Brandon Wu

AP US Government - Current Events & Election Update

34:43

AP US Government - Current Events & Election Update

2020 · Fatima Raja & Brandon Wu

AP Calculus AB - 2017 FRQ Review

1:04:20

AP Calculus AB - 2017 FRQ Review

2020 · Brandon Wu

Pre-AP English Language & Composition - Course Preview

30:50

Pre-AP English Language & Composition - Course Preview

2020 · Brandon Wu

AP English Language - Summer Current Events Analysis

1:07:32

AP English Language - Summer Current Events Analysis

2019 · Brandon Wu

Fiveable

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

every AP exam is fiveable

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

RefundsTermsPrivacyCCPAAI TransparencySchool Data Privacy

© 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.

every AP exam is fiveable

Fiveable

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
RefundsTermsPrivacyCCPAAI TransparencySchool Data Privacy

© 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.