## 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. tan x**

**2. Power Rule for Derivatives**

**3. sin 0**

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

**5. sin p/3**

**6. Critical number**

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

**8. sin(2x)**

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

**10. sin p**

**11. Area of an equilateral triangle**

**12. cot x**

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

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

**15. ln mn**

**16. d/dx[ln u]**

**17. csc x**

**18. The Quotient Rule**

**19. sin 3p/2**

**20. Average speed**

**21. Constant Multiple Rule for Derivatives**

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

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

**24. cos p/4**

**25. ln 1**

**26. sinx**

**27. sec x**

**28. cos 3p/2**

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

**30. cos p**

**31. d/dx[arcsin x]**

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

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

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

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

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

**37. cosx**

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

**39. cos 0**

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

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

**42. Derivative**

**43. Guidelines for implicit differentiation**

**44. ln (mn)**

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

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

**47. cos(2x)**

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

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

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