📚

All Subjects

♾️

AP Calc

♾️AP Calculus AB/BC

Exam Date: May 8, 2023

A library of helpful videos, study guides, trivia, and more

279 resources

🗓️Previous Exam Prep

🖇 Slides

Separable Differential Equations Slides

Bob Amar

🎥 Video

Helping Students Master Taking Derivatives Part I (for Teachers)

Jamil Siddiqui

🎥 Video

Integration Techniques Part II

Jamil Siddiqui

🎥 Video

Limits @ Infinity and Horizontal Asymptotes

Suzanne Ferrell-Locke

🎥 Video

The Limit Definition of the Derivative

Jennifer Durost

🎥 Video

Using FTC and Integral Defined Functions

Meghan Dwyer

View all resources

👑Unit 1 – Limits & Continuity

📄 Study Guide

1.2 Defining Limits and Using Limit Notation

📄 Study Guide

1.4 Estimating Limit Values from Tables

📄 Study Guide

1.5 Determining Limits Using Algebraic Properties of Limits

📄 Study Guide

1.11 Defining Continuity at a Point

📄 Study Guide

1.12 Confirming Continuity over an Interval

📄 Study Guide

1.13 Removing Discontinuities

View all resources

🌶Live Cram Sessions 2020

🖇 Slides

Slides from the Presentation

Jamil Siddiqui

🎥 Video

♾ AP Calc AB+BC 5-hour Cram Finale

Jacob Jeffries

🎥 Video

Curve Sketching

Jamil Siddiqui

🎥 Video

Multi-Topic Questions for 2020

Jamil Siddiqui

🎥 Video

Related Rates

Jamil Siddiqui

🎥 Video

Tabular Calculus FRQs

Jamil Siddiqui

View all resources

🤓Unit 2 – Fundamentals of Differentiation

📄 Study Guide

2.1 Defining Average and Instantaneous Rates of Change at a Point

📄 Study Guide

2.3 Estimating Derivatives of a Function at a Point

📄 Study Guide

2.4 Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist

📄 Study Guide

2.5 Applying the Power Rule

📄 Study Guide

2.6 Derivative Rules: Constant, Sum, Difference, and Constant Multiple

📄 Study Guide

2.7 Derivatives of cos x, sinx, e^x, and ln x

View all resources

🤙🏽Unit 3 – Composite, Implicit, & Inverse Functions

📄 Study Guide

3.1 The Chain Rule

📄 Study Guide

3.2 Implicit Differentiation

📄 Study Guide

3.4 Differentiating Inverse Trigonometric Functions

📄 Study Guide

3.5 Selecting Procedures for Calculating Derivatives

📄 Study Guide

3.6 Calculating Higher-Order Derivatives

📄 Study Guide

Unit 3 Overview: Differentiation: Composite, Implicit, and Inverse Functions

View all resources

👀Unit 4 – Contextual Applications of Differentiation

📄 Study Guide

4.1 Interpreting the Meaning of the Derivative in Context

📄 Study Guide

4.2 Straight-Line Motion: Connecting Position, Velocity, and Acceleration

📄 Study Guide

4.3 Rates of Change in Applied Contexts other than Motion

📄 Study Guide

4.4 Intro to Related Rates

📄 Study Guide

4.7 Using L'Hopitals Rule for Determining Limits in Indeterminate Forms

📄 Study Guide

Unit 4 Overview: Contextual Applications of Differentiation

View all resources

✨Unit 5 – Analytical Applications of Differentiation

📄 Study Guide

5.1 Using the Mean Value Theorem

📄 Study Guide

5.3 Determining Intervals on Which a Function is Increasing or Decreasing

📄 Study Guide

5.4 Using the First Derivative Test to Determine Relative (Local) Extrema

📄 Study Guide

5.6 Determining Concavity

📄 Study Guide

5.7 Using the Second Derivative Test to Determine Extrema

📄 Study Guide

Unit 5 Overview: Analytical Applications of Differentiation

View all resources

🔥Unit 6 – Integration & Accumulation of Change

📄 Study Guide

6.1 Integration and Accumulation of Change

📄 Study Guide

6.11 Integrating Using Integration by Parts

📄 Study Guide

6.12 Using Linear Partial Fractions

📄 Study Guide

6.13 Evaluation Improper Integrals

📄 Study Guide

6.14 Selecting Techniques for Antidifferentiation (AB)

📄 Study Guide

Unit 6 Overview: Integration and Accumulation of Change

View all resources

💎Unit 7 – Differential Equations

📄 Study Guide

7.2 Verifying Solutions for Differential Equations

📄 Study Guide

7.3 Sketching Slope Fields

📄 Study Guide

7.4 Reasoning Using Slope Fields

📄 Study Guide

7.5 Approximating Solutions Using Euler’s Method

📄 Study Guide

7.6 Finding General Solutions Using Separation of Variables

📄 Study Guide

7.9 Logistic Models with Differential Equations

View all resources

🐶Unit 8 – Applications of Integration

📄 Study Guide

8.1 Finding the Average Value of a Function on an Interval

📄 Study Guide

8.5 Finding the Area Between Curves Expressed as Functions of y

📄 Study Guide

8.8 Volumes with Cross Sections: Triangles and Semicircles

📄 Study Guide

8.11 Volume with Washer Method: Revolving Around the x- or y-Axis

📄 Study Guide

8.12 Volume with Washer Method: Revolving Around Other Axes

📄 Study Guide

Unit 8 Overview: Applications of Integration

View all resources

🦖Unit 9 – Parametric Equations, Polar Coordinates, & Vector-Valued Functions (BC Only)

📄 Study Guide

9.2 Second Derivatives of Parametric Equations

📄 Study Guide

9.3 Finding Arc Lengths of Curves Given by Parametric Equations

📄 Study Guide

9.5 Integrating Vector-Valued Functions

📄 Study Guide

9.6 Solving Motion Problems Using Parametric and Vector-Valued Functions

📄 Study Guide

9.9 Finding the Area of the Region Bounded by Two Polar Curves

📄 Study Guide

Unit 9 Overview: Parametric Equations, Polar Coordinates, and Vector-Valued Functions

View all resources

♾Unit 10 – Infinite Sequences & Series (BC Only)

📄 Study Guide

10.4 Integral Test for Convergence

📄 Study Guide

10.10 Alternating Series Error Bound

📄 Study Guide

10.11 Finding Taylor Polynomial Approximations of Functions

📄 Study Guide

10.13 Radius and Interval of Convergence of Power Series

📄 Study Guide

10.15 Representing Functions as Power Series

📄 Study Guide

Unit 10 Overview: Infinite Series and Sequences

View all resources

✏️Frequently Asked Questions

📰 Blog

How Can I Get a 5 in AP Calculus AB/BC?

📰 Blog

How to do a Riemann Sum?

📰 Blog

Is AP Calculus AB/BC Hard? Is AP Calc Worth Taking?

📰 Blog

What Calculator Functions Will Save Your Life?

📰 Blog

What is U-Sub and how do I use it?

📰 Blog

What to Know Before Taking AP Calculus AB

View all resources

🧐Multiple Choice Questions (MCQ)

📄 Study Guide

AP Calculus AB/BC Multiple Choice Help (MCQ)

📄 Study Guide

Calculus Multiple Choice Questions

View all resources

✍️Free Response Questions (FRQ)

🖇 Slides

AP Calculus: 2015 FRQ Slides

Brandon Wu

🖇 Slides

Presentation Slides, 2017 FRQ

Brandon Wu

🖇 Slides

Review: Using the Graph of a Derivative FRQ - Stream Slides

Bob Amar

🎥 Video

🎉NMSI AP Reader Chat: Calculus (AB and BC)

Mark Howell

🎥 Video

2015 FRQ Review

Brandon Wu

🎥 Video

2017 FRQ Review

Brandon Wu

View all resources

🙏Exam Review 2020

Coming soon

❓Q & A sessions

🖇 Slides

Calculus Slides, Q and A

Brandon Wu

🎥 Video

Q and A

Brandon Wu

🎥 Video

Q and A

Meghan Dwyer

🎥 Video

Q&A Student Study Session

Jacob Jeffries

View all resources

📆Big Reviews: Finals & Exam Prep

📄 Study Guide

2024 AP Calculus AB Exam Guide

📄 Study Guide

2024 AP Calculus BC Exam Guide

🎥 Video

Fall Semester Review (2019)

Jennifer Durost

📰 Blog

Download AP Calculus Cheat Sheet PDF Cram Chart

View all resources

🌶️AP Cram Sessions 2021

🖇 Slides

AP Calc AB Cram Unit 2: Differentiation: Definition and Fundamental Properties

Jamil Siddiqui

🖇 Slides

AP Calc AB Cram Unit 6: Integration and Accumulation of Change

Jamil Siddiqui

🖇 Slides

AP Calc AB Cram Unit 8: Applications of Integration

Jamil Siddiqui

🖇 Slides

AP Calc AB Finale Slides

Meghan Dwyer

🖇 Slides

AP Calc BC Cram Unit 6: BC Concepts (Integration by parts, Using Linear Partial Fractions, and Improper Integrals)

Elizabeth Kohne

🎥 Video

🌶️ AP Calc Cram Review: Unit 10: Infinite Sequence and Series Part 2

Elizabeth Kohne

View all resources

Browse By Unit

All Units

👑Unit 1 – Limits & Continuity

🤓Unit 2 – Fundamentals of Differentiation

🤙🏽Unit 3 – Composite, Implicit, & Inverse Functions

👀Unit 4 – Contextual Applications of Differentiation

✨Unit 5 – Analytical Applications of Differentiation

🔥Unit 6 – Integration & Accumulation of Change

💎Unit 7 – Differential Equations

🐶Unit 8 – Applications of Integration

🦖Unit 9 – Parametric Equations, Polar Coordinates, & Vector-Valued Functions (BC Only)

♾Unit 10 – Infinite Sequences & Series (BC Only)

Other Resources

🗓️Previous Exam Prep

🌶Live Cram Sessions 2020

✏️Frequently Asked Questions

🧐Multiple Choice Questions (MCQ)

✍️Free Response Questions (FRQ)

🙏Exam Review 2020

❓Q & A sessions

📆Big Reviews: Finals & Exam Prep

🌶️AP Cram Sessions 2021

Stay Connected

About Us

About Fiveable Blog Careers Code of Conduct Terms of Use Privacy Policy CCPA Privacy Policy

Resources

Fiveable Library Study Rooms College Hub Study Plans Help Center

Student Wellness

Wellness Guides Joon Care Resources Crisis Text Line International Hotlines