free diagnosticupgrade
  1. browse cram archives
  2. ap calculus ab/bc
  3. AP Calculus - Interpreting Derivatives & Using Tables

ap calculus - interpreting derivatives & using tables

originally streamed in 2019 with Jerry KosoffTeacher
subscribe
Learn how to interpret derivatives and work with tables in AP Calculus. This video covers derivative values, rates of change, and analyzing function behavior using tabular dataโ€”great for AP Calc AB/BC exam prep. You'll review how to read derivative ...more

timestamps

  • 0:00

    Introduction to Derivatives

  • 0:30

    Defining Derivative Concepts

  • 1:01

    Informal Derivative Definitions

  • 2:04

    Algebraic Derivative Definition

  • 2:35

    Difference Quotient Explanation

  • 3:05

    Instantaneous Rate of Change

  • 3:38

    Tangent Line Example

  • 4:09

    Derivative Notation Overview

  • 4:39

    DY/DX Notation Details

  • 5:11

    Notation Pros and Cons

  • 5:42

    Notation Understanding Poll

  • 6:13

    Units of Derivatives

  • 6:57

    Temperature Units Example

  • 7:58

    Pool Filling Units Example

  • 8:59

    Rate of Rate Discussion

  • 10:00

    Bicycle Tire Units Example

  • 10:30

    Interpreting Units Poll

  • 11:40

    Time as Output Explanation

  • 12:40

    AP Test Units Example

  • 13:43

    Units Confidence Poll

  • 14:14

    Interpreting Derivative Meaning

  • 14:45

    Temperature Interpretation Example

  • 17:25

    Interpretation Template

  • 17:56

    Pool Interpretation Example

  • 20:33

    Corrected Interpretation Sentence

  • 21:35

    Tree Height Table Introduction

  • 22:38

    Estimating Derivatives from Tables

  • 23:38

    Approximating H Prime 5

  • 28:54

    Steel Wire Temperature Example

  • 31:36

    Wire Interpretation Feedback

  • 34:11

    Tables Estimation Poll

  • 37:48

    Function Tables Overview

  • 38:18

    Derivative Rules Review

  • 39:30

    Product Quotient Chain Formulas

  • 40:35

    Composite Function Example

  • 43:41

    Quotient Rule Example

  • 48:46

    Rules Application Poll

  • 51:20

    Upcoming Session Plug

  • 51:51

    Open Questions Session

  • 53:32

    Inverse Functions Discussion

  • 55:07

    Limits Definition Explanation

  • 56:39

    Sine Derivative Example

  • 58:18

    Session Closing Remarks

up next in ap calculus ab/bc

AP Calculus - Unit 3 Study Group
1:00:59

AP Calculus - Unit 3 Study Group

2021 ยท Anuva Yonzon

AP Calculus - Q&A: Exam Changes & Units 1-7
1:10:06

AP Calculus - Q&A: Exam Changes & Units 1-7

2020 ยท Meghan Dwyer

AP Calculus CRAM โ€“ FRQs & Test Strategies

AP Calculus CRAM โ€“ FRQs & Test Strategies

2020 ยท Jamil Siddiqui

AP Calculus CRAM โ€“ Tabular FRQs
1:01:02

AP Calculus CRAM โ€“ Tabular FRQs

2020 ยท Jamil Siddiqui

Calculus AB - 2019 FRQ Review
1:22:12

Calculus AB - 2019 FRQ Review

2019 ยท Amy Dunn-Ruiz

more from Jerry Kosoff

AP Statistics - Confidence Intervals for Proportions
1:01:58

AP Statistics - Confidence Intervals for Proportions

2019 ยท Jerry Kosoff

AP Statistics - Confidence Intervals for Means
59:34

AP Statistics - Confidence Intervals for Means

2019 ยท Jerry Kosoff

AP Statistics - Experiments & Observational Studies
44:29

AP Statistics - Experiments & Observational Studies

2019 ยท Jerry Kosoff

AP Statistics CRAM โ€“ Makeup Exam Review
1:11:38

AP Statistics CRAM โ€“ Makeup Exam Review

2019 ยท Jerry Kosoff

AP Statistics CRAM โ€“ Probability Rules & Random Variables
1:20:02

AP Statistics CRAM โ€“ Probability Rules & Random Variables

2019 ยท Jerry Kosoff

Fiveable
Study Content & Tools
Study GuidesFRQs + AI ScoringAI Grading for TeachersPractice QuestionsGlossaryScore Calculators
Company
What's New?PricingBulk DiscountsTestimonialsFAQsEmail us
Resources
AP Exam Schedule 2026AP ClassesAP ClassroomEasiest AP ClassesHardest AP ClassesAP vs IBAP vs Dual EnrollmentAP vs Honors ClassesAP Scholar Awards

every AP exam is fiveable

history
๐ŸŒŽ ap world history๐Ÿ‡บ๐Ÿ‡ธ ap us history๐Ÿ‡ช๐Ÿ‡บ ap european history
social science
โœŠ๐Ÿฟ ap african american studies๐Ÿ—ณ๏ธ ap comparative government๐Ÿšœ ap human geography๐Ÿ’ถ ap macroeconomics๐Ÿค‘ ap microeconomics๐Ÿง  ap psychology๐Ÿ‘ฉ๐Ÿพโ€โš–๏ธ ap us government
english & capstone
โœ๐Ÿฝ ap english language๐Ÿ“š ap english literature๐Ÿ” ap research๐Ÿ’ฌ ap seminar
arts
๐ŸŽจ ap art & design๐Ÿ–ผ๏ธ ap art history๐ŸŽต ap music theory
science
๐Ÿงฌ ap biology๐Ÿงช ap chemistryโ™ป๏ธ ap environmental science๐ŸŽก ap physics 1๐Ÿงฒ ap physics 2๐Ÿ’ก ap physics c: e&mโš™๏ธ ap physics c: mechanics
math & computer science
๐Ÿงฎ ap calculus abโ™พ๏ธ ap calculus bc๐Ÿ“Š ap statistics๐Ÿ’ป ap computer science aโŒจ๏ธ ap computer science p
world languages
๐Ÿ‡จ๐Ÿ‡ณ ap chinese๐Ÿ‡ซ๐Ÿ‡ท ap french๐Ÿ‡ฉ๐Ÿ‡ช ap german๐Ÿ‡ฎ๐Ÿ‡น ap italian๐Ÿ‡ฏ๐Ÿ‡ต ap japanese๐Ÿ›๏ธ ap latin๐Ÿ‡ช๐Ÿ‡ธ ap spanish language๐Ÿ’ƒ๐Ÿฝ ap spanish literature

go beyond AP

high school exams
โœ๏ธ PSAT๐ŸŽ“ Digital SAT๐ŸŽ’ ACT
honors classes
๐Ÿฌ honors algebra II๐Ÿซ€ honors anatomy๐Ÿ‡ honors biology๐Ÿ‘ฉ๐Ÿฝโ€๐Ÿ”ฌ honors chemistry๐Ÿ’ฒ honors economics๐Ÿ“ honors geometryโšพ๏ธ honors physics๐Ÿ“ honors pre-calculus๐Ÿ“Š honors statistics๐Ÿ—ณ๏ธ honors us government๐Ÿ‡บ๐Ÿ‡ธ honors us history๐ŸŒŽ honors world history
college classes
๐Ÿ‘ฉ๐Ÿฝโ€๐ŸŽค arts๐Ÿ‘” business๐ŸŽค communications๐Ÿ—๏ธ engineering๐Ÿ““ humanitiesโž— math๐Ÿง‘๐Ÿฝโ€๐Ÿ”ฌ science๐Ÿ’ถ social science
hs classes
๐Ÿ›๏ธ alabama historyโ›ฐ๏ธ appalachian studies๐ŸŒด california history๐ŸŒ earth science๐ŸŒ ethnic studies๐ŸŠ florida history๐Ÿ‘ georgia history๐ŸŒŽ global studies๐ŸŒบ hawaiian studies๐Ÿ“ฐ journalism๐Ÿชถ native american studies๐ŸŒต new mexico history๐Ÿค  oklahoma historyโš—๏ธ physical science๐ŸŽ™๏ธ speech and debate๐Ÿค texas government๐Ÿค  texas history๐ŸŒฒ washington state history๐Ÿ•Š๏ธ world religions

RefundsTermsPrivacyCCPA
ยฉ 2026 Fiveable Inc. All rights reserved.
APยฎ and SATยฎ 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 ScoringAI Grading for TeachersPractice QuestionsGlossaryScore Calculators
Company
What's New?PricingBulk DiscountsTestimonialsFAQsEmail us
Resources
AP Exam Schedule 2026AP ClassesAP ClassroomEasiest AP ClassesHardest AP ClassesAP vs IBAP vs Dual EnrollmentAP vs Honors ClassesAP Scholar Awards
history
๐ŸŒŽ ap world history๐Ÿ‡บ๐Ÿ‡ธ ap us history๐Ÿ‡ช๐Ÿ‡บ ap european history
social science
โœŠ๐Ÿฟ ap african american studies๐Ÿ—ณ๏ธ ap comparative government๐Ÿšœ ap human geography๐Ÿ’ถ ap macroeconomics๐Ÿค‘ ap microeconomics๐Ÿง  ap psychology๐Ÿ‘ฉ๐Ÿพโ€โš–๏ธ ap us government
english & capstone
โœ๐Ÿฝ ap english language๐Ÿ“š ap english literature๐Ÿ” ap research๐Ÿ’ฌ ap seminar
arts
๐ŸŽจ ap art & design๐Ÿ–ผ๏ธ ap art history๐ŸŽต ap music theory
science
๐Ÿงฌ ap biology๐Ÿงช ap chemistryโ™ป๏ธ ap environmental science๐ŸŽก ap physics 1๐Ÿงฒ ap physics 2๐Ÿ’ก ap physics c: e&mโš™๏ธ ap physics c: mechanics
math & computer science
๐Ÿงฎ ap calculus abโ™พ๏ธ ap calculus bc๐Ÿ“Š ap statistics๐Ÿ’ป ap computer science aโŒจ๏ธ ap computer science p
world languages
๐Ÿ‡จ๐Ÿ‡ณ ap chinese๐Ÿ‡ซ๐Ÿ‡ท ap french๐Ÿ‡ฉ๐Ÿ‡ช ap german๐Ÿ‡ฎ๐Ÿ‡น ap italian๐Ÿ‡ฏ๐Ÿ‡ต ap japanese๐Ÿ›๏ธ ap latin๐Ÿ‡ช๐Ÿ‡ธ ap spanish language๐Ÿ’ƒ๐Ÿฝ ap spanish literature

go beyond AP

high school exams
โœ๏ธ PSAT๐ŸŽ“ Digital SAT๐ŸŽ’ ACT
honors classes
๐Ÿฌ honors algebra II๐Ÿซ€ honors anatomy๐Ÿ‡ honors biology๐Ÿ‘ฉ๐Ÿฝโ€๐Ÿ”ฌ honors chemistry๐Ÿ’ฒ honors economics๐Ÿ“ honors geometryโšพ๏ธ honors physics๐Ÿ“ honors pre-calculus๐Ÿ“Š honors statistics๐Ÿ—ณ๏ธ honors us government๐Ÿ‡บ๐Ÿ‡ธ honors us history๐ŸŒŽ honors world history
college classes
๐Ÿ‘ฉ๐Ÿฝโ€๐ŸŽค arts๐Ÿ‘” business๐ŸŽค communications๐Ÿ—๏ธ engineering๐Ÿ““ humanitiesโž— math๐Ÿง‘๐Ÿฝโ€๐Ÿ”ฌ science๐Ÿ’ถ social science
hs classes
๐Ÿ›๏ธ alabama historyโ›ฐ๏ธ appalachian studies๐ŸŒด california history๐ŸŒ earth science๐ŸŒ ethnic studies๐ŸŠ florida history๐Ÿ‘ georgia history๐ŸŒŽ global studies๐ŸŒบ hawaiian studies๐Ÿ“ฐ journalism๐Ÿชถ native american studies๐ŸŒต new mexico history๐Ÿค  oklahoma historyโš—๏ธ physical science๐ŸŽ™๏ธ speech and debate๐Ÿค texas government๐Ÿค  texas history๐ŸŒฒ washington state history๐Ÿ•Š๏ธ world religions
RefundsTermsPrivacyCCPA
ยฉ 2026 Fiveable Inc. All rights reserved.
APยฎ and SATยฎ are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.