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ap calculus - derivatives: implicit & inverse functions

originally streamed in 2020 with Jamil SiddiquiTeacher
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Learn essential derivative techniques for AP Calculus with this in-depth study session. We cover inverse functions, implicit differentiation, logarithmic differentiation, and inverse trig derivatives with step-by-step examples to help you build confi ...more

covered in this stream

units
Unit 3 – Composite, Implicit, and Inverse FunctionsUnit 2 – Fundamentals of Differentiation
topics
3.1 The Chain Rule3.2 Implicit Differentiation3.3 Differentiating Inverse Functions3.4 Differentiating Inverse Trigonometric FunctionsHelping Students Master Taking Derivatives Part II (for Teachers) Implicit DerivativesThe Chain Rule2.8 The Product Rule

timestamps

  • 0:00

    Introduction and Overview

  • 0:30

    Social Media Reminders

  • 1:00

    Inverse Functions Challenges

  • 1:31

    One-Step Derivatives Review

  • 2:32

    Exponential and Log Derivatives

  • 3:02

    Inverse Trig Derivatives

  • 4:03

    Derivative of Inverse Theorem

  • 5:05

    Implicit Differentiation Example

  • 6:41

    Solving Without Isolating Y

  • 8:20

    First Implicit Solution

  • 10:56

    Product Rule in Implicit

  • 13:01

    Chain Rule Application

  • 15:34

    Isolating dy/dx

  • 18:42

    Non-Functions and Slopes

  • 19:47

    Derivative of a^x

  • 21:51

    Natural Log Technique

  • 24:27

    Pre-Calculus Inverse Solving

  • 28:35

    Logarithmic Equation Example

  • 31:12

    Exponential Equation Solving

  • 33:17

    Arcsin Example

  • 35:56

    Inverse Trig as Angles

  • 37:02

    Arctan and Secant

  • 40:10

    Derivative of Arcsin(x)

  • 44:51

    Derivative of Arcsec(x)

  • 49:00

    Arc Cosine Derivative

  • 53:16

    Inverse Function Derivative

  • 55:54

    Deriving Inverse Formula

  • 58:00

    Example Calculation

  • 59:04

    Table Data Problems

  • 1:00:39

    Session Wrap-Up

  • 1:01:11

    Closing Remarks

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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.