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AP Calculus Formulas

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Alternate Limit Definition of a derivative

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2. d/dx[arccot x]






3. cos²x






4. Derivative of an inverse (if g(x) is the inverse of f(x))

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5. d/dx[ f(x) / g(x) ]

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6. d/dx[arctan x]






7. Chain Rule: d/dx[f(g(x))] =

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8. d/dx[log_a x]






9. Position function of a falling object (with acceleration in m/s²)






10. cos p/6






11. ln 1






12. d/dx[arccos x]






13. Average speed






14. The Quotient Rule

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15. sin 0






16. d/dx[ f(x) g(x) ]

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17. Position function of a falling object (with acceleration in ft/s²)






18. Volume of a right circular cylinder






19. ln mn






20. cos 0






21. Volume of a cone






22. Constant Multiple Rule for Derivatives

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23. sin p/4






24. Continuity on a closed interval - [a -b]






25. cos p/4






26. d/dx[ln u]

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27. cot x






28. Indeterminate form






29. Continuity at a point (x = c)






30. If f(-x) = -f(x)






31. If f(-x) = f(x)






32. The limit as x approaches 0 of (1 - cos x) / x






33. 1 + tan²x






34. d/dx[a^x]






35. d/dx[x]






36. sin²x






37. sin p/3






38. Area of a circle






39. cos²x + sin²x






40. ln (m/n)






41. sec x






42. Critical number

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43. d/dx[sin x]






44. sin p/2






45. sin(2x)






46. Velocity - v(t)

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47. Circumference of a circle






48. Continuity & differentiability






49. Intermediate Value Theorem






50. sin 3p/2