# AP Calculus AB Practice Tests

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 Limits 30% Derivatives 35% Integrals and the Fundamental Theorem of Calculus 35%
• Questions 1,713
• Vocabulary Terms 111
• Performance Tasks 60
• Instructional Videos 34

### Test Standards

 Limits 1. (EK 1.1A1)  Limit defined 2. (EK 1.1A2)  Extend limit concept 3. (EK 1.1A3)  Nonexistent limits 4. (EK 1.1B1)  Estimate limits 5. (EK 1.1C1)  Theorems and rules 6. (EK 1.1C2)  Algebra, Trig, Squeeze 7. (EK 1.1C3)  Lâ€™Hospitalâ€™s Rule 8. (EK 1.1D1)  Asymptotic & unbounded 9. (EK 1.1D2)  Magnitudes and rates of change 10. (EK 1.2A1)  Continuity defined 11. (EK 1.2A2)  Continuous functions 12. (EK 1.2A3)  Types of discontinuities 13. (EK 1.2B1)  Continuity as condition Derivatives 1. (EK 2.1A1)  Difference quotients 2. (EK 2.1A2)  Instantaneous rate of change 3. (EK 2.1A3)  Derivative defined 4. (EK 2.1A4)  Derivative notations 5. (EK 2.1A5)  Derivative representations 6. (EK 2.1B1)  Estimate derivative at a point 7. (EK 2.1C1)  Apply the definition of the derivative 8. (EK 2.1C2)  Specific rules 9. (EK 2.1C3)  Derivative rules 10. (EK 2.1C4)  Chain rule 11. (EK 2.1C5)  Implicit differentiation 12. (EK 2.1C6)  Derivatives of inverse functions 13. (EK 2.1D1)  Higher order derivatives 14. (EK 2.1D2)  Higher order derivative notation 15. (EK 2.2A1)  Graph features from derivatives 16. (EK 2.2A2)  Key features 17. (EK 2.2A3)  f, f', and f 18. (EK 2.2B1)  Continuous, not differentiable 19. (EK 2.2B2)  Differentiable implies continuous 20. (EK 2.3A1)  Units for derivatives 21. (EK 2.3A2)  Derivative as rate of change 22. (EK 2.3B1)  Derivative as tangent slope 23. (EK 2.3B2)  Local linear approximation 24. (EK 2.3C1)  Rectilinear motion 25. (EK 2.3C2)  Related rates 26. (EK 2.3C3)  Optimization 27. (EK 2.3D1)  Applied rates of change 28. (EK 2.3E1)  Differential equations 29. (EK 2.3E2)  Verify solutions 30. (EK 2.4A1)  Mean Value Theorem Integrals and the Fundamental Theorem of Calculus 1. (EK 3.1A1)  Antiderivatives 2. (EK 3.1A2)  Finding antiderivatives 3. (EK 3.2A1)  Riemann sums 4. (EK 3.2A2)  Definite integral defined 5. (EK 3.2A3)  Translate definite integrals into sums 6. (EK 3.2B1)  Approximate definite integrals 7. (EK 3.2B2)  Use various approximations 8. (EK 3.2C1)  Use geometry 9. (EK 3.2C2)  Definite integral properties 10. (EK 3.2C3)  Integrals with discontinuities 11. (EK 3.3A1)  Define new functions 12. (EK 3.3A2)  Derivative of integrals 13. (EK 3.3A3)  Representations of integral-defined function 14. (EK 3.3B1)  Defined antiderivative 15. (EK 3.3B2)  Substitution theorem 16. (EK 3.3B3)  Indefinite integral 17. (EK 3.3B4)  Closed form antiderivatives 18. (EK 3.3B5)  Antidifferentiation techniques 19. (EK 3.4A1)  Accumulated rate of change 20. (EK 3.4A2)  Integral as net change 21. (EK 3.4A3)  Limit of Riemann sum 22. (EK 3.4B1)  Average value 23. (EK 3.4C1)  Particle motion 24. (EK 3.4D1)  Areas of plane regions 25. (EK 3.4D2)  Volumes 26. (EK 3.4E1)  Applied accumulation and net change 27. (EK 3.5A1)  Solve differential equations 28. (EK 3.5A2)  Separable differential equations 29. (EK 3.5A3)  Domain restrictions 30. (EK 3.5A4)  General solutions 31. (EK 3.5B1)  Exponential models