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ap calculus - related rates

originally streamed in 2019 with Jamil SiddiquiTeacher
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Learn how to solve related rates problems in AP Calculus with step-by-step examples and practice. This video breaks down the techniques you need to connect rates of change between variables, set up equations with implicit differentiation, and handle ...more

covered in this stream

units
Unit 4 – Contextual Applications of Differentiation
topics
4.4 Intro to Related Rates4.5 Solving Related Rates ProblemsRelated Rates

timestamps

  • 0:00

    Introduction to Related Rates

  • 0:30

    Differentiating Variables Overview

  • 1:33

    Basic Derivative Example

  • 3:04

    Derivative with Respect to R

  • 4:38

    Chain Rule Application

  • 6:40

    Ripples Problem Setup

  • 8:45

    Area Rate Translation

  • 10:48

    Finding da/dt Equation

  • 12:54

    Area of Circle Formula

  • 14:58

    Differentiating with Time

  • 16:33

    Plugging in Values

  • 18:36

    Cone Volume Example

  • 20:10

    Rates for Radius and Height

  • 22:47

    Positive Rate Changes

  • 24:53

    Variables and Junk Box

  • 27:31

    Volume of Cone Formula

  • 29:34

    Product Rule Differentiation

  • 32:46

    Calculating Volume Rate

  • 34:19

    Rectangle Area Example

  • 37:56

    Substituting Width for Length

  • 41:05

    Differentiating Area Equation

  • 43:39

    Evaporating Water Cone

  • 45:41

    Rates and Units Setup

  • 47:48

    Cone Diagram Explanation

  • 49:54

    Replacing Radius Variable

  • 51:27

    Similar Triangles Proportion

  • 54:04

    Final Volume Equation

  • 56:43

    Related Rates Recap

  • 58:16

    Non-Constant Rates Discussion

  • 58:48

    Closing Remarks

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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

career kickstart

šŸ’¼ ap business with personal financešŸ”’ ap cybersecurity

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

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