AP Calculus AB Flashcards

Master AP Calculus AB concepts with interactive flashcards

Study Materials

Need a quick way to review key AP Calculus AB concepts? Our extensive collection of flashcards allows you to study efficiently, reinforcing important terms and formulas at your own pace, ensuring you're ready for exam day.

Flashcard Topics

Derivatives

722 cards

Applications of Derivatives

Derivatives87 cards

Analysis of curves, including the notions of monotonicity and concavity

Derivatives6 cards

Implicit differentiation

Derivatives32 cards

Interpretation of the derivative as a rate of change

Derivatives30 cards

Modeling rates of change, including related rates problems­

Derivatives9 cards

Optimization, both global and local extrema

Derivatives7 cards

Computation of the Derivative

Derivatives307 cards

Chain rule and implicit differentiation

Derivatives109 cards

Derivative rules for sums, products, and quotients of functions

Derivatives93 cards

Derivatives of functions

Derivatives94 cards

Concept of the Derivative

Derivatives87 cards

Derivative defined as the limit of the difference quotient

Derivatives47 cards

Derivative interpreted as an instantaneous rate of change

Derivatives36 cards

Relationship between differentiability and continuity

Derivatives4 cards

Derivative as a function

Derivatives77 cards

Corresponding characteristics of graphs of ƒ and ƒ'

Derivatives5 cards

Equations involving derivatives

Derivatives13 cards

Mean Value Theorem

Derivatives9 cards

Relationship between the increasing and decreasing behavior of ƒ and the sign of ƒ'

Derivatives47 cards

Derivative at a point

Derivatives117 cards

Approximate rate of change from graphs and tables of values

Derivatives49 cards

Slope of a curve at a point

Derivatives52 cards

Tangent line to a curve at a point and local linear approximation

Derivatives16 cards

Second Derivatives

Derivatives48 cards

Corresponding characteristics of the graphs of ƒ, ƒ', and ƒ''

Derivatives3 cards

Points of inflection

Derivatives14 cards

Relationship between the concavity of ƒ and the sign of ƒ''

Derivatives27 cards

Functions, Graphs, and Limits

207 cards

Asymptotic and Unbounded Behavior

Functions, Graphs, and Limits129 cards

Asymptotic behavior in terms of limits involving infinity

Functions, Graphs, and Limits22 cards

Comparing relative magnitudes of functions and their rates of change

Functions, Graphs, and Limits106 cards

Graphical behavior of asymptotes

Functions, Graphs, and Limits1 cards

Continunity as a property of functions

Functions, Graphs, and Limits8 cards

An intuitive understanding of continuity

Functions, Graphs, and Limits3 cards

Geometric understanding of graphs of continuous functions

Functions, Graphs, and Limits2 cards

Understanding continuity in terms of limits

Functions, Graphs, and Limits3 cards

Limits of Functions (including one-sided limits)

Functions, Graphs, and Limits70 cards

Calculating limits using algebra

Functions, Graphs, and Limits31 cards

Estimating limits from graphs or tables

Functions, Graphs, and Limits4 cards

Understanding the limiting process.

Functions, Graphs, and Limits35 cards

Integrals

317 cards

Applications of antidifferentiation

Integrals34 cards

Finding specific antiderivatives using initial conditions, including applications to motion along a line

Integrals9 cards

Solving separable differential equations and using them in modeling

Integrals24 cards

Fundamental Theorem of Calculus

Integrals33 cards

Use of the Fundamental Theorem to evaluate definite integrals

Integrals22 cards

Use of the Fundamental Theorem to represent a particular antiderivative, and the analytical and graphical analysis of functions so defined

Integrals3 cards

Interpretations and properties of definite integrals

Integrals54 cards

Basic properties of definite integrals (additivity and linearity)

Integrals28 cards

Definite integral as a limit of Riemann sums

Integrals3 cards

Definite integral of the rate of change of a quantity over an interval interpreted as the change of the quantity over the interval

Integrals23 cards

Numerical approximations to definite integrals

Integrals90 cards

Riemann sums (left, right, and midpoint evaluation points)

Integrals27 cards

Trapezoidal sums

Integrals49 cards

Techniques of antidifferentiation

Integrals106 cards

Antiderivatives by substitution of variables

Integrals59 cards

Antiderivatives following directly from derivatives of basic functions

Integrals42 cards
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