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ap calculus - increasing & decreasing functions

originally streamed on November 7, 2019 with Suzanne Ferrell-Locke
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Learn how to analyze increasing and decreasing functions using derivatives in AP Calculus. This comprehensive review covers critical numbers, sign charts, the first derivative test, and local extrema through multiple worked examples. You'll strength ...more

timestamps

  • 0:00

    Introduction and Setup

  • 0:36

    Stream Overview

  • 2:08

    Critical Numbers Definition

  • 3:42

    Finding Critical Numbers Example

  • 5:35

    Derivative Calculation

  • 7:07

    Factoring and Solving

  • 9:10

    Sign Chart for f'

  • 10:43

    Testing Intervals

  • 13:22

    Interval Signs Analysis

  • 17:10

    Completing Sign Chart

  • 20:43

    Increasing Decreasing Test

  • 23:39

    Number Line Approach

  • 28:56

    New Function Example

  • 30:00

    Critical Numbers and Intervals

  • 35:48

    Graph Discussion

  • 41:07

    First Derivative Test

  • 42:40

    Local Extrema Example

  • 51:19

    Rational Function Example

  • 1:03:16

    Final Example Derivative

  • 1:16:56

    Recap and Questions

  • 1:20:46

    Closing Remarks

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every AP exam is fiveable

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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

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.