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ap calculus - derivative rules practice

originally streamed in 2019 with Sander OwensStudent
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Practice derivative rules for AP Calculus with step-by-step examples covering power rule, product rule, quotient rule, and chain rule. This 48-minute review helps you apply each rule confidently and avoid common mistakes on your AP Calc AB or BC exam ...more

covered in this stream

units
Unit 2 – Fundamentals of DifferentiationUnit 3 – Composite, Implicit, and Inverse Functions
topics
2.5 Applying the Power Rule2.6 Derivative Rules2.7 Derivatives of cos x, sinx, e^x, and ln x2.8 The Product Rule2.9 The Quotient Rule2.10 Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions3.1 The Chain Rule3.5 Selecting Procedures for Calculating Derivatives

timestamps

  • 0:00

    Power Rule Basics

  • 1:34

    Roots as Powers

  • 2:10

    Sum and Difference Rules

  • 4:15

    Trigonometric Derivatives

  • 5:50

    Trig Example Problems

  • 7:25

    Product Rule Introduction

  • 9:31

    Quotient Rule Explanation

  • 13:44

    Chain Rule Overview

  • 14:46

    Chain Rule Examples

  • 16:51

    Practice Problems Start

  • 17:22

    Polynomial Derivative

  • 18:23

    Tangent Derivative Proof

  • 22:34

    Sine and Cosine Chains

  • 26:14

    Product Rule Practice

  • 27:47

    Quotient with Chain

  • 29:24

    Power Chain Example

  • 30:56

    Fractional Exponents

  • 33:35

    Complex Trig Product

  • 38:24

    Deriving Trig Rules

  • 47:00

    Session Wrap Up

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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.

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
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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.