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Advanced Placement
High School
AP Calculus AB Practice
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Discover the most effective and comprehensive online solution for curriculum mastery, high-stakes testing, and assessment in . Our AP Calculus AB curriculum and test review is aligned to the most current standards.
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Questions
1,667
Vocabulary Terms
123
Performance Tasks
62
Instructional Videos
43
Test Standards
Limits and Continuity
(1.1) Change at an instant
(1.2) Limit defined
(1.3-4) Estimate limits
(1.5-7) Theorems and rules
(1.8) Squeeze theorem
(1.9) Limit representations
(1.10) Types of discontinuities
(1.11) Continuity defined
(1.12) Continuous functions
(1.13) Removing discontinuities
(1.14-15) Asymptotic & unbounded
(1.16) IVT
Differentiation: Definition and Fundamental Properties
(2.1) Difference quotients
(2.2) Instantaneous rate of change
(2.3) Estimate derivative at a point
(2.4) Continuous, not differentiable
(2.5-6) Derivative rules
(2.7) Derivatives of cos x, sin x, e^x, and ln x
(2.8-9) Product and quotient rules
(2.10) Trig derivatives
Differentiation: Composite, Implicit, and Inverse Functions
(3.1) Chain rule
(3.2) Implicit differentiation
(3.3) Derivatives of inverse functions
(3.4) Inverse trig derivatives
(3.5) Choose methods
(3.6) Higher order derivatives
Contextual Applications of Differentiation
(4.1) Derivative as rate of change
(4.2) Rectilinear motion
(4.3) Applied rates of change
(4.4-5) Related rates
(4.6) Local linear approximation
(4.7) L’Hospital’s Rule
Analytical Applications of Differentiation
(5.1) Mean Value Theorem
(5.2) Extrema
(5.3-4) Graph features from derivatives
(5.5) Absolute extrema
(5.6) Concavity
(5.7) 2nd derivative test
(5.8) f, f', and f
(5.9) f, f', and f''
(5.10) Optimization
(5.11) Optimization
(5.12) Implicit relations
Integration and Accumulation of Change
(6.2) Riemann sums
(6.3) Definite integral defined
(6.4) The Fundamental Theorem
(6.5) Behavior of Accumulation Functions
(6.6) Definite integral properties
(6.7) Definite Integrals
(6.8) Antiderivatives
(6.9) Substitution
(6.10) Long division, square completion
(6.14) Antidifferentiation techniques
Differential Equations
(7.1) Model
(7.2) Verify solutions
(7.3-4) Slope fields
(7.6) Separable differential equations
(7.7) Solve differential equations
(7.8) Exponential models
Applications of Integration
(8.1) Average value
(8.2) Particle motion
(8.3) Accumulated rate of change
(8.4-6) Areas of plane regions
(8.7-9) Volumes
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