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ap calc cram – curve sketching

originally streamed in 2020 with Jamil SiddiquiTeacher
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Learn curve sketching for AP Calculus with this focused cram review covering derivatives, concavity, extrema, and inflection points. This session walks through key terms, the first derivative test, absolute and relative maxima/minima, and multiple pr ...more

curriculum note

This video references the 2020 AP exam's special COVID format (25 minutes for FRQ 1, 15 minutes for FRQ 2), which no longer applies. Check the current AP Calculus exam guide for up-to-date FRQ timing and structure.

covered in this stream

units
Unit 5 – Analytical Applications of DifferentiationUnit 6 – Integration and Accumulation of Change
topics
5.2 Extreme Value Theorem, Global vs Local Extrema, and Critical Points5.3 Determining Intervals on Which a Function is Increasing or Decreasing5.4 Using the First Derivative Test to Determine Relative (Local) Extrema5.5 Using the Candidates Test to Determine Absolute (Global) Extrema5.6 Determining Concavity5.7 Using the Second Derivative Test to Determine Extrema5.8 Sketching Graphs of Functions and Their Derivatives5.9 Connecting a Function, Its First Derivative, and its Second Derivative 6.4 The Fundamental Theorem of Calculus and Accumulation Functions6.5 Interpreting the Behavior of Accumulation Functions Involving Area

timestamps

  • 0:00

    Welcome and Introduction

  • 0:36

    Stream Calendar and Announcements

  • 1:36

    Fivable Olympics Overview

  • 2:07

    Key Terms for Curve Sketching

  • 3:09

    Explicit Functions Explained

  • 4:09

    Increasing and Decreasing Functions

  • 5:11

    Relative Maximum and Minimum

  • 5:42

    Absolute Maximum and Minimum

  • 7:15

    Concavity and Second Derivative

  • 9:18

    Fundamental Theorem of Calculus

  • 10:23

    Explicit Function Example

  • 13:32

    First Derivative Test

  • 21:53

    Concave Down Intervals

  • 29:46

    Graph of F Example

  • 30:17

    Linking G to F

  • 35:27

    Relative Maximum for G

  • 43:16

    Inflection Point Analysis

  • 51:39

    Candidates Test for Absolutes

  • 1:02:33

    Integral Sign Analysis

  • 1:10:28

    Session Wrap-Up and Reminders

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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

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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

career kickstart

💼 ap business with personal finance🔒 ap cybersecurity

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.