## Test your basic knowledge |

# AP Calculus Formulas

**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. Position function of a falling object (with acceleration in m/s)**

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

**3. sinx**

**4. Average speed**

**5. sec x**

**6. d/dx[csc x]**

**7. d/dx[arccos x]**

**8. Constant Multiple Rule for Derivatives**

**9. cot x**

**10. If f(-x) = -f(x)**

**11. cos p/2**

**12. Rolle's Theorem**

**13. Position function of a falling object (with acceleration in ft/s)**

**14. cos p/3**

**15. Area of a circle**

**16. Sum and Difference Rules for Derivatives**

**17. Continuity at a point (x = c)**

**18. Volume of a right circular cylinder**

**19. ln 1**

**20. Alternate Limit Definition of a derivative**

**21. cosx + sinx**

**22. d/dx[sec x]**

**23. 1 + tanx**

**24. Continuity on an open interval - (a -b)**

**25. d/dx[log_a u]**

**26. Limit Definition of a Derivative**

**27. Intermediate Value Theorem**

**28. ln (m/n)**

**29. Continuity on a closed interval - [a -b]**

**30. sin 0**

**31. cos(2x)**

**32. d/dx[cot x]**

**33. cos 0**

**34. d/dx[ f(x) g(x) ]**

**35. sin 3p/2**

**36. d/dx[x]**

**37. d/dx[sin x]**

**38. cos p/4**

**39. d/dx[ f(x) / g(x) ]**

**40. d/dx[e^x]**

**41. Derivative of a constant**

**42. How to get from precalculus to calculus**

**43. Guidelines for implicit differentiation**

**44. d/dx[ln x]**

**45. Extreme Value Theorem**

**46. d/dx[a^u]**

**47. d/dx[tan x]**

**48. d/dx[arcsec x]**

**49. sin p**

**50. d/dx[arctan x]**