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ap calculus - teaching derivatives (for teachers)

originally streamed in 2020 with Jamil SiddiquiTeacher
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Teaching derivatives in AP Calculus AB/BC? This professional development session walks through proven classroom strategies to help your students understand and apply derivative concepts. Learn practical techniques for the product rule, quotient rule, ...more

covered in this stream

units
Unit 2 – Fundamentals of DifferentiationUnit 3 – Composite, Implicit, and Inverse Functions
topics
Helping Students Master Taking Derivatives Part I (for Teachers) 2.5 Applying the Power Rule2.6 Derivative Rules2.7 Derivatives of cos x, sinx, e^x, and ln x2.10 Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions2.8 The Product Rule2.9 The Quotient RuleThe Product and Quotient Rules3.1 The Chain RuleThe Chain Rule

timestamps

  • 0:00

    Introduction and Welcome

  • 0:36

    Stream Overview for Teachers

  • 1:08

    Basic Derivatives Overview

  • 1:38

    One-Step Derivatives Explained

  • 2:08

    Trigonometric Derivatives List

  • 3:09

    Product Rule Introduction

  • 4:43

    Product Rule Notation

  • 6:16

    Product Rule Boxes Method

  • 9:21

    Quotient Rule Setup

  • 11:26

    Chain Rule Foundations

  • 12:27

    Function Notation in Algebra

  • 15:36

    Chain Rule Steps

  • 16:37

    One-Step Derivatives Practice

  • 17:39

    Power Rule Development

  • 18:40

    Trig Derivatives Mnemonics

  • 23:21

    Cosecant Derivative Derivation

  • 26:57

    Rapid Fire Derivative Practice

  • 28:29

    General Differentiation Rules

  • 32:37

    First Homework Examples

  • 37:47

    Simplification in Derivatives

  • 39:53

    Structure in Derivative Rules

  • 43:31

    Trig Identities in Derivatives

  • 45:38

    Product Rule Examples

  • 47:43

    Nested Product Rules

  • 51:23

    Quotient Rule Examples

  • 53:25

    Quotient vs One-Step

  • 55:28

    Chain Rule Basics

  • 58:03

    Nested Chain Rules

  • 1:01:46

    Exponential Chain Rule

  • 1:03:20

    Derivative Process Summary

  • 1:04:21

    Q&A and Closing Remarks

  • 1:06:23

    Future Topics Discussion

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APĀ® and SATĀ® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.

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Study Content & Tools

Study GuidesFRQs + AI ScoringAP Essay Grader for StudentsAI Grading for TeachersPractice QuestionsGlossaryScore Calculators

Company

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Resources

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history

šŸŒŽ ap world historyšŸ‡ŗšŸ‡ø ap us historyšŸ‡ŖšŸ‡ŗ ap european history

social science

āœŠšŸæ ap african american studiesšŸ—³ļø ap comparative government🚜 ap human geographyšŸ’¶ ap macroeconomicsšŸ¤‘ ap microeconomics🧠 ap psychologyšŸ‘©šŸ¾ā€āš–ļø ap us government

english & capstone

āœšŸ½ ap english languagešŸ“š ap english literaturešŸ” ap researchšŸ’¬ ap seminar

arts

šŸŽØ ap art & designšŸ–¼ļø ap art historyšŸŽµ ap music theory

science

🧬 ap biology🧪 ap chemistryā™»ļø ap environmental sciencešŸŽ” ap physics 1🧲 ap physics 2šŸ’” ap physics c: e&māš™ļø ap physics c: mechanics

math & computer science

🧮 ap calculus abā™¾ļø ap calculus bcšŸ“ ap precalculusšŸ“Š ap statisticsšŸ’» ap computer science aāŒØļø ap computer science p

world languages

šŸ‡ØšŸ‡³ ap chinesešŸ‡«šŸ‡· ap frenchšŸ‡©šŸ‡Ŗ ap germanšŸ‡®šŸ‡¹ ap italianšŸ‡ÆšŸ‡µ ap japanesešŸ›ļø ap latinšŸ‡ŖšŸ‡ø ap spanish languagešŸ’ƒšŸ½ ap spanish literature

go beyond AP

high school exams

āœļø PSATšŸŽ“ Digital SATšŸŽ’ ACT

honors classes

šŸ¬ honors algebra IIšŸ«€ honors anatomyšŸ‡ honors biologyšŸ‘©šŸ½ā€šŸ”¬ honors chemistryšŸ’² honors economicsšŸ“ honors geometryāš¾ļø honors physicsšŸ“ honors pre-calculusšŸ“Š honors statisticsšŸ—³ļø honors us governmentšŸ‡ŗšŸ‡ø honors us historyšŸŒŽ honors world history

college classes

šŸ‘©šŸ½ā€šŸŽ¤ artsšŸ‘” businessšŸŽ¤ communicationsšŸ—ļø engineeringšŸ““ humanitiesāž— mathšŸ§‘šŸ½ā€šŸ”¬ sciencešŸ’¶ social science

hs classes

šŸ›ļø alabama historyā›°ļø appalachian studies🌓 california historyšŸŒ earth science🌐 ethnic studies🐊 florida historyšŸ‘ georgia historyšŸŒŽ global studies🌺 hawaiian studiesšŸ“° journalism🪶 native american studies🌵 new mexico history🤠 oklahoma historyāš—ļø physical sciencešŸŽ™ļø speech and debatešŸ¤ texas government🤠 texas history🌲 washington state historyšŸ•Šļø world religions
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Ā© 2026 Fiveable Inc. All rights reserved.

APĀ® and SATĀ® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.