AP Calculus AB Vocabulary

In short: AP Calculus AB vocabulary: 37 terms on limits, continuity, derivatives, integrals, and the Fundamental Theorem of Calculus, each defined in plain language with a short example to prepare for the exam.
The AP Calculus AB vocabulary on this page lists the language of the course and the exam: limit, continuity, differentiable, critical point, concavity, related rates, antiderivative, definite integral, Riemann sum. Each entry gives a precise yet readable definition and a compact example, often with the function and the answer written out.
Free-response questions reward correct terminology, so knowing the exact words matters. Print the list for the weeks before the exam and test yourself by explaining each term without notes. During homework, keep it close for moments when a prompt says “justify using the Mean Value Theorem” and you need the conditions stated correctly.
37 words on this page, each with a definition, a figure, a solved example and two quick questions.
AP Calculus AB Vocabulary: the full list
Calculus
- Antiderivative
- Area Between Curves
- Average Value of a Function
- Chain Rule
- Concavity
- Continuity
- Critical Point
- Definite Integral
- Derivative
- Derivative Rules
- Differential Equation
- Disk Method
- Equation of a Tangent Line
- Extreme Value Theorem
- First Derivative Test
- Fundamental Theorem of Calculus
- Implicit Differentiation
- Inflection Point
- Integral
- Intermediate Value Theorem
- L'Hôpital's Rule
- Limit
- Limit at Infinity
- Limit Definition of the Derivative
- Mean Value Theorem
- One-Sided Limit
- Optimization (Calculus)
- Power Rule
- Product Rule
- Quotient Rule
- Related Rates
- Riemann Sum
- Second Derivative Test
- Separation of Variables
- Slope Field
- Squeeze Theorem
- U-Substitution