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ap calculus - increasing & decreasing functions

originally streamed in 2019 with Suzanne Ferrell-lockeTeacher
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Learn how to identify increasing and decreasing functions using the first derivative test in AP Calculus. This video covers critical points, sign charts, and function behavior analysis—essential skills for Unit 5 on your AP Calc AB and BC exams. Und ...more

covered in this stream

units
Unit 5 – Analytical Applications of Differentiation
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) ExtremaIncreasing and Decreasing Functions

timestamps

  • 0:00

    Introduction to Topics

  • 0:30

    Critical Numbers Definition

  • 2:36

    Polynomial Critical Numbers Example

  • 5:08

    Factoring Derivative

  • 6:45

    Derivative Sign Chart

  • 10:23

    Testing Intervals

  • 15:00

    Interval Sign Results

  • 17:45

    Increasing Decreasing Test

  • 21:45

    Number Line Method

  • 26:31

    Cubic Function Example

  • 29:08

    Derivative Number Line

  • 33:35

    Graph Shape Discussion

  • 38:39

    First Derivative Test

  • 40:44

    Quartic Function Extrema

  • 48:54

    Rational Function Example

  • 53:12

    Number Line with DNE

  • 1:01:22

    Product Distribution Example

  • 1:06:13

    Critical Numbers with Roots

  • 1:13:27

    Key Takeaways Recap

  • 1:15:01

    Absolute Extrema Explanation

  • 1:18:21

    Upcoming Streams Reminder

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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

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.