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🧮 AP Calculus Cheatsheets
Download the one-page AP Calculus cheatsheet PDF or browse AI-generated visual study aids with key formulas, concepts, and definitions for your exam review.
official one-pagers
Text cheatsheets made by Fiveable, in print-ready PDF.
the entire AP Calculus AB course on one page
Compiled by students and teachers, then reviewed and updated every year.
1 page · PDF · updated every year
the entire AP Calculus BC course on one page
Compiled by students and teachers, then reviewed and updated every year.
1 page · PDF · updated every year
one page per unit
Same format, one unit at a time, aligned to the 2026-2027 course.
AP Calculus AB · Unit 1
AP Calculus AB · Unit 2
AP Calculus AB · Unit 3
AP Calculus AB · Unit 4
AP Calculus AB · Unit 5
AP Calculus AB · Unit 6
AP Calculus AB · Unit 7
AP Calculus AB · Unit 8
AP Calculus BC · Unit 1
AP Calculus BC · Unit 2
AP Calculus BC · Unit 3
AP Calculus BC · Unit 4
AP Calculus BC · Unit 5
AP Calculus BC · Unit 6
AP Calculus BC · Unit 7
AP Calculus BC · Unit 8
AP Calculus BC · Unit 9
Parametric Equations, Polar Coordinates, and Vector-Valued Functions (BC only)
AP Calculus BC · Unit 10
visual cheatsheets
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Unit 1 - 1.1 Introducing Calculus: Can Change Occur at An Instant?
customgenerated on 9/16/2026
Unit 1 - 1.2 Defining Limits and Using Limit Notation
generated on 9/8/2026
Unit 1 - 1.3 Estimating Limit Values from Graphs
generated on 9/11/2026
Unit 1 - 1.4 Estimating Limit Values from Tables
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Unit 1 - 1.5 Determining Limits Using Algebraic Properties of Limits
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Unit 1 - 1.6 Determining Limits Using Algebraic Manipulation
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Unit 1 - 1.7 Selecting Procedures for Determining Limits
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Unit 1 - 1.8 Determining Limits Using the Squeeze Theorem
generated on 8/31/2026
Unit 1 - 1.16 Working with the Intermediate Value Theorem (IVT Calc)
customgenerated on 8/10/2026
Unit 2 - 2.1 Defining Average and Instantaneous Rates of Change at a Point
generated on 7/15/2026
Unit 2 - 2.7 Derivatives of cos x, sinx, e^x, and ln x
generated on 9/17/2026
Unit 2 - 2.10 Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions
customgenerated on 7/15/2026
Unit 2 - 2.10 Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions
customgenerated on 7/15/2026
Unit 3 - 3.4 Differentiating Inverse Trigonometric Functions
customgenerated on 9/17/2026
Unit 3 - 3.6 Calculating Higher-Order Derivatives
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Unit 4 - 4.4 Intro to Related Rates
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Unit 4 - 4.5 Solving Related Rates Problems
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Unit 4 - 4.6 Approximating Values of a Function Using Local Linearity and Linearization
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Unit 4 - 4.7 Using L'Hopitals Rule for Determining Limits in Indeterminate Forms
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Unit 5 - 5.1 Using the Mean Value Theorem
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Unit 5 - 5.2 Extreme Value Theorem, Global vs Local Extrema, and Critical Points
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Unit 5 - 5.3 Determining Intervals on Which a Function is Increasing or Decreasing
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Unit 5 - 5.4 Using the First Derivative Test to Determine Relative (Local) Extrema
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Unit 5 - 5.5 Using the Candidates Test to Determine Absolute (Global) Extrema
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Unit 5 - 5.6 Determining Concavity
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Unit 5 - 5.7 Using the Second Derivative Test to Determine Extrema
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Unit 5 - 5.8 Sketching Graphs of Functions and Their Derivatives
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Unit 5 - 5.9 Connecting a Function, Its First Derivative, and its Second Derivative
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Unit 5 - 5.10 Introduction to Optimization Problems
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Unit 5 - 5.11 Solving Optimization Problems
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Unit 5 - 5.12 Exploring Behaviors of Implicit Relations
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Unit 6 - 6.1 Integration and Accumulation of Change
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Unit 6 - 6.2 Approximating Areas with Riemann Sums
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Unit 6 - 6.3 Riemann Sums, Summation Notation, and Definite Integral Notation
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Unit 6 - 6.4 The Fundamental Theorem of Calculus and Accumulation Functions
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Unit 6 - 6.5 Interpreting the Behavior of Accumulation Functions Involving Area
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Unit 6 - 6.6 Applying Properties of Definite Integrals
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Unit 6 - 6.7 The Fundamental Theorem of Calculus and Definite Integrals
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Unit 6 - 6.8 Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
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Unit 6 - 6.9 Integrating Using Substitution
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Unit 6 - 6.10 Integrating Functions Using Long Division and Completing the Square
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Unit 6 - 6.11 Integrating Using Integration by Parts
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Unit 6 - 6.12 Integrating Using Linear Partial Fractions
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Unit 6 - 6.13 Evaluating Improper Integrals
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Unit 6 - 6.14 Selecting Techniques for Antidifferentiation (AB)
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Unit 7 - 7.1 Modeling Situations with Differential Equations
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Unit 7 - 7.2 Verifying Solutions for Differential Equations
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Unit 7 - 7.3 Sketching Slope Fields
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Unit 7 - 7.4 Reasoning Using Slope Fields
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Unit 7 - 7.5 Approximating Solutions Using Euler’s Method
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Unit 7 - 7.6 Finding General Solutions Using Separation of Variables
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Unit 7 - 7.7 Finding Particular Solutions Using Initial Conditions and Separation of Variables
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Unit 7 - 7.8 Exponential Models with Differential Equations
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Unit 7 - 7.9 Logistic Models with Differential Equations
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Unit 8 - 8.1 Finding the Average Value of a Function on an Interval
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Unit 8 - 8.2 Connecting Position, Velocity, and Acceleration of Functions Using Integrals
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Unit 8 - 8.3 Using Accumulation Functions and Definite Integrals in Applied Contexts
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Unit 8 - 8.4 Finding the Area Between Curves Expressed as Functions of x
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Unit 8 - 8.5 Finding the Area Between Curves Expressed as Functions of y
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Unit 8 - 8.6 Finding the Area Between Curves That Intersect at More Than Two Points
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Unit 8 - 8.7 Volumes with Cross Sections: Squares and Rectangles
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Unit 8 - 8.8 Volumes with Cross Sections: Triangles and Semicircles
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Unit 8 - 8.9 Volume with Disc Method: Revolving Around the x- or y-Axis
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Unit 8 - 8.10 Volume with Disc Method: Revolving Around Other Axes
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Unit 8 - 8.11 Volume with Washer Method: Revolving Around the x- or y-Axis
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Unit 8 - 8.12 Volume with Washer Method: Revolving Around Other Axes
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Unit 8 - 8.13 The Arc Length of a Smooth, Planar Curve and Distance Traveled
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Unit 9 - 9.1 Defining and Differentiating Parametric Equations
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Unit 9 - 9.2 Second Derivatives of Parametric Equations
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Unit 9 - 9.3 Finding Arc Lengths of Curves Given by Parametric Equations
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Unit 9 - 9.4 Defining and Differentiating Vector-Valued Functions
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Unit 9 - 9.5 Integrating Vector-Valued Functions
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Unit 9 - 9.6 Solving Motion Problems Using Parametric and Vector-Valued Functions
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Unit 9 - 9.7 Defining Polar Coordinates and Differentiating in Polar Form
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Unit 9 - 9.8 Find the Area of a Polar Region or the Area Bounded by a Single Polar Curve
generated on 7/1/2026
Unit 9 - 9.9 Finding the Area of the Region Bounded by Two Polar Curves
generated on 7/1/2026
Unit 10 Infinite Sequences And Series Bc Only - 10.2 Working with Geometric Series
generated on 9/23/2026
Unit 10 Infinite Sequences And Series Bc Only - 10.3 The nth Term Test for Divergence
generated on 9/23/2026
Unit 10 Infinite Sequences And Series Bc Only - 10.4 Integral Test for Convergence
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Unit 10 Infinite Sequences And Series Bc Only - 10.5 Harmonic Series and p-Series
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Unit 10 Infinite Sequences And Series Bc Only - 10.6 Comparison Tests for Convergence
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Unit 10 Infinite Sequences And Series Bc Only - 10.7 Alternating Series Test for Convergence
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Unit 10 Infinite Sequences And Series Bc Only - 10.8 Ratio Test for Convergence
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Unit 10 Infinite Sequences And Series Bc Only - 10.15 Representing Functions as Power Series
generated on 9/23/2026
Exam Skills - Score Higher on AP Calculus: MCQ Tips from Students
generated on 9/23/2026
AP Calculus Ab Bc Exams - Free Response Questions (FRQ)
generated on 9/23/2026
AP Calculus Ab Bc Exams - Multiple-Choice Questions (MCQ)
generated on 9/23/2026
Study Tools - AP Calculus BC Exam Guide
generated on 9/23/2026
Study Tools - AP Calculus AB Exam Guide
generated on 9/23/2026
about the AP Calculus cheatsheets
A cheatsheet condenses a whole course into the facts you actually need on exam day. The AP Calculus cheatsheets on this page summarize the key formulas, concepts, and definitions from each unit so you can review the entire course at a glance.
They work best as a final review: skim the one-page summary, spot the units you want to strengthen, then go deeper with the AP Calculus study guides. The visual cheatsheets in the gallery are organized by unit, and you can generate your own for any topic you want a quick refresher on.
what's covered in AP Calculus
- Unit 1 – Limits and Continuity
- Unit 2 – Fundamentals of Differentiation
- Unit 3 – Composite, Implicit, and Inverse Functions
- Unit 4 – Contextual Applications of Differentiation
- Unit 5 – Analytical Applications of Differentiation
- Unit 6 – Integration and Accumulation of Change
- Unit 7 – Differential Equations
- Unit 8 – Applications of Integration
- Unit 9 – Parametric Equations, Polar Coordinates, and Vector–Valued Functions (BC Only)
- Unit 10 – Infinite Sequences and Series (BC Only)
- AP Calculus AB/BC Exams
- Mathematical Practices
- Exam Skills
- Frequently Asked Questions
- Big Ideas