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
27 decksApplications of Derivatives
87 Cards
Analysis of curves, including the notions of monotonicity and concavity
6 Cards
Implicit differentiation
32 Cards
Interpretation of the derivative as a rate of change
30 Cards
Modeling rates of change, including related rates problems
9 Cards
Optimization, both global and local extrema
7 Cards
Computation of the Derivative
307 Cards
Chain rule and implicit differentiation
109 Cards
Derivative rules for sums, products, and quotients of functions
93 Cards
Derivatives of functions
94 Cards
Concept of the Derivative
87 Cards
Derivative defined as the limit of the difference quotient
47 Cards
Derivative interpreted as an instantaneous rate of change
36 Cards
Relationship between differentiability and continuity
4 Cards
Derivative as a function
77 Cards
Corresponding characteristics of graphs of ƒ and ƒ'
5 Cards
Equations involving derivatives
13 Cards
Mean Value Theorem
9 Cards
Relationship between the increasing and decreasing behavior of ƒ and the sign of ƒ'
47 Cards
Derivative at a point
117 Cards
Approximate rate of change from graphs and tables of values
49 Cards
Slope of a curve at a point
52 Cards
Tangent line to a curve at a point and local linear approximation
16 Cards
Second Derivatives
48 Cards
Corresponding characteristics of the graphs of ƒ, ƒ', and ƒ''
3 Cards
Points of inflection
14 Cards
Relationship between the concavity of ƒ and the sign of ƒ''
27 Cards
Integrals
16 decksApplications of antidifferentiation
34 Cards
Finding specific antiderivatives using initial conditions, including applications to motion along a line
9 Cards
Solving separable differential equations and using them in modeling
24 Cards
Fundamental Theorem of Calculus
33 Cards
Use of the Fundamental Theorem to evaluate definite integrals
22 Cards
Use of the Fundamental Theorem to represent a particular antiderivative, and the analytical and graphical analysis of functions so defined
3 Cards
Interpretations and properties of definite integrals
54 Cards
Basic properties of definite integrals (additivity and linearity)
28 Cards
Definite integral as a limit of Riemann sums
3 Cards
Definite integral of the rate of change of a quantity over an interval interpreted as the change of the quantity over the interval
23 Cards
Numerical approximations to definite integrals
90 Cards
Riemann sums (left, right, and midpoint evaluation points)
27 Cards
Trapezoidal sums
49 Cards
Techniques of antidifferentiation
106 Cards
Antiderivatives by substitution of variables
59 Cards
Antiderivatives following directly from derivatives of basic functions
42 Cards
Functions, Graphs, and Limits
12 decksAsymptotic and Unbounded Behavior
129 Cards
Asymptotic behavior in terms of limits involving infinity
22 Cards
Comparing relative magnitudes of functions and their rates of change
106 Cards
Graphical behavior of asymptotes
1 Cards
Continunity as a property of functions
8 Cards
An intuitive understanding of continuity
3 Cards
Geometric understanding of graphs of continuous functions
2 Cards
Understanding continuity in terms of limits
3 Cards
Limits of Functions (including one-sided limits)
70 Cards
Calculating limits using algebra
31 Cards
Estimating limits from graphs or tables
4 Cards
Understanding the limiting process.
35 Cards
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