free diagnosticupgrade
  1. browse cram archives
  2. ap calculus ab/bc
  3. AP Calculus - 2015 FRQ Review: Derivatives & Integrals

ap calculus - 2015 frq review: derivatives & integrals

originally streamed in 2020 with Brandon WuStudent
subscribe
Review 2015 FRQ problems with detailed solutions for AP Calculus AB and BC. This walkthrough covers free response questions from the actual College Board exam, breaking down problem-solving strategies for derivatives, integrals, rate analysis, and mo ...more

curriculum note

This video was recorded during the 2020 COVID exam period and references the modified 2020 exam format (uploading handwritten answers digitally, no in-person proctoring). The current AP Calculus exam is paper-based and in-person. Scoring guidance is based on 2015 rubrics, which may not reflect current rubric standards.

covered in this stream

units
Exam Skills
topics
2015 FRQ ReviewAP Calculus: 2015 FRQ SlidesAP Calculus Free Response Question (FRQ) Overview

timestamps

  • 0:00

    Introduction and Welcome

  • 0:30

    Uns simplified Answers

  • 1:32

    FRQ 1A: Inflow Integral

  • 4:09

    FRQ 1B: Increasing or Decreasing

  • 5:44

    Net Rate Analysis

  • 8:21

    Justification Tips

  • 11:30

    FRQ 1C: Minimum Amount

  • 14:05

    Amount of Water Setup

  • 19:23

    FRQ 1D: Overflow Integral

  • 21:29

    FRQ 1C Procedure Review

  • 23:31

    FRQ 3A: Derivative Estimate

  • 25:04

    FRQ 3B: Right Riemann Sum

  • 31:19

    Slope Field Sketch

  • 34:27

    Second Derivative Calculation

  • 37:32

    Relative Extrema Check

  • 40:10

    FRQ 5A: Relative Minimum

  • 41:49

    FRQ 5B: Concave Down Intervals

  • 43:21

    FRQ 5C: Inflection Points

  • 44:56

    FRQ 5D: Integral Expression

  • 47:30

    FRQ 6A: Tangent Line

  • 49:02

    FRQ 6B: Vertical Tangent

  • 52:37

    FRQ 6: Second Derivative

  • 54:41

    Session Wrap-Up

more on these topics
AP Calculus - Derivatives & Exam Strategies

2:03

AP Calculus - Derivatives & Exam Strategies

2021 · Meghan Dwyer

AP Calculus CRAM – FRQs & Test Strategies

AP Calculus CRAM – FRQs & Test Strategies

2020 · Jamil Siddiqui

AP Calculus CRAM – Tabular FRQs

1:01:02

AP Calculus CRAM – Tabular FRQs

2020 · Jamil Siddiqui

AP Calculus - 2015 FRQ Review

1:14:11

AP Calculus - 2015 FRQ Review

2020 · Brandon Wu

AP Calc AB - Derivative Graph FRQs

1:38:00

AP Calc AB - Derivative Graph FRQs

2020 · Bob Amar

up next in ap calculus ab/bc
AP Calculus - Preview Session: Exam Prep & Study Tips

1:02:22

AP Calculus - Preview Session: Exam Prep & Study Tips

2024 · Jude St John

AP Calculus CRAM – Related Rates & Implicit Differentiation

5:00:44

AP Calculus CRAM – Related Rates & Implicit Differentiation

2020

AP Calculus - Q&A: Differential Equations & Slope Fields

1:09:44

AP Calculus - Q&A: Differential Equations & Slope Fields

2020 · Leen & Jacob

AP Calculus CRAM – Separable Differential Equations

1:06:12

AP Calculus CRAM – Separable Differential Equations

2020

AP Calculus AB - Interpreting Derivatives & Integrals

1:00:39

AP Calculus AB - Interpreting Derivatives & Integrals

2020 · Meghan Dwyer

more from Brandon Wu
AP English Language - Argument Body Paragraphs

43:38

AP English Language - Argument Body Paragraphs

2020 · Brandon Wu

AP US Government - Current Events & Election Update

34:43

AP US Government - Current Events & Election Update

2020 · Fatima Raja & Brandon Wu

AP Calculus AB - 2017 FRQ Review

1:04:20

AP Calculus AB - 2017 FRQ Review

2020 · Brandon Wu

Pre-AP English Language & Composition - Course Preview

30:50

Pre-AP English Language & Composition - Course Preview

2020 · Brandon Wu

AP English Language - Summer Current Events Analysis

1:07:32

AP English Language - Summer Current Events Analysis

2019 · Brandon Wu

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 Exam AccommodationsAP ClassesAP ClassroomEasiest AP ClassesHardest AP ClassesAP vs IBAP vs Dual EnrollmentAP vs Honors ClassesAP Scholar Awards

every AP® exam is fiveable

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

career kickstart

💼 ap business with personal finance🔒 ap cybersecurity

go beyond AP®

high school exams

✏️ PSAT/NMSQT®🎓 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

RefundsTermsPrivacyCCPAAI TransparencySchool Data Privacy

© 2026 Fiveable Inc. All rights reserved.

AP®, PSAT/NMSQT®, and SAT®are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website or Fiveable's products and services.

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 Exam AccommodationsAP 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

career kickstart

💼 ap business with personal finance🔒 ap cybersecurity

go beyond AP®

high school exams

✏️ PSAT/NMSQT®🎓 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
RefundsTermsPrivacyCCPAAI TransparencySchool Data Privacy

© 2026 Fiveable Inc. All rights reserved.

AP®, PSAT/NMSQT®, and SAT®are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website or Fiveable's products and services.