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ap calculus - q&a: differential equations & frqs

originally streamed in 2020 with Jacob Jeffries & Leen AmroStudents
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Q&A session answering your AP Calculus questions on differential equations, integrals, optimization, volumes, limits, and FRQ strategies. Get help with slope fields, separation of variables, L'Hôpital's Rule, and more in this live review session. Th ...more

curriculum note

This video was recorded for the 2020 AP Exam, which had a special COVID-19 format (only 2 FRQs, calculator permitted for the entire exam, and certain topics such as Lagrange error bound removed). The current AP Calculus exam structure and topic list differ from what is described here.

covered in this stream

units
Unit 7 – Differential EquationsUnit 8 – Applications of IntegrationUnit 4 – Contextual Applications of DifferentiationUnit 5 – Analytical Applications of DifferentiationUnit 1 – Limits and Continuity
topics
7.3 Sketching Slope Fields7.4 Reasoning Using Slope Fields7.6 Finding General Solutions Using Separation of Variables7.7 Finding Particular Solutions Using Initial Conditions and Separation of Variables4.4 Intro to Related Rates4.5 Solving Related Rates Problems4.7 Using L'Hopitals Rule for Determining Limits in Indeterminate Forms5.10 Introduction to Optimization Problems5.11 Solving Optimization Problems8.4 Finding the Area Between Curves Expressed as Functions of x8.7 Volumes with Cross Sections8.11 Volume with Washer Method1.8 Determining Limits Using the Squeeze Theorem6.2 Approximating Areas with Riemann Sums

timestamps

  • 0:00

    Q&A Session

  • 0:36

    Stream Overview

  • 1:42

    Introductions

  • 2:12

    Differential Equations Question

  • 3:45

    Slope Fields Discussion

  • 5:08

    Drawing Slope Fields

  • 5:39

    Slope Field Matching

  • 10:16

    Definite Integrals Work

  • 11:48

    Simpsons Rule Note

  • 12:19

    Initial Value Problems

  • 15:58

    Trapezoidal vs Midpoint

  • 19:37

    Showing Work with Calculator

  • 20:40

    Integral Setup Example

  • 24:20

    Starting FRQs

  • 25:51

    Cylinder FRQ Analysis

  • 29:30

    Rate of Change Reasoning

  • 33:39

    Separation of Variables

  • 35:47

    FRQ Scoring Guide

  • 37:52

    Optimization Review

  • 42:07

    Unit 8 FRQ Overview

  • 44:09

    Region R Description

  • 47:50

    Cross-Section Volume

  • 49:24

    Rotation Volume Expression

  • 51:28

    Unit 8 Scoring Guide

  • 55:06

    Continuity and Limits FRQ

  • 56:40

    Finding h Prime

  • 57:44

    Product Rule Application

  • 58:15

    L'Hôpital's Rule Use

  • 1:00:19

    Squeeze Theorem Explanation

  • 1:03:00

    FRQ Scoring Guide

  • 1:05:09

    Final Questions and Wrap-Up

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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.