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

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

**3. Guidelines for solving related rates problems**

**4. Derivative**

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

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

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

**8. cos 0**

**9. Circumference of a circle**

**10. sin 3p/2**

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

**12. sin p/6**

**13. Velocity - v(t)**

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

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

**16. d/dx[a^x]**

**17. Limit Definition of a Derivative**

**18. Continuity & differentiability**

**19. The Product Rule**

**20. Intermediate Value Theorem**

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

**22. Critical number**

**23. cos(2x)**

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

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

**26. 1 + tanx**

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

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

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

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

**31. ln 1**

**32. sin p**

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

**34. sin 0**

**35. csc x**

**36. sinx**

**37. sin p/3**

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

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

**40. sin p/2**

**41. cosx**

**42. d/dx[e^u]**

**43. sin p/4**

**44. Instantaneous velocity**

**45. d/dx[log_a x]**

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

**47. cosx + sinx**

**48. Extreme Value Theorem**

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

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