## 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. cos 3p/2**

**2. Power Rule for Derivatives**

**3. Indeterminate form**

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

**5. The Quotient Rule**

**6. ln 1**

**7. sec x**

**8. ln e**

**9. The Product Rule**

**10. Area of an equilateral triangle**

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

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

**13. ln (mn)**

**14. cos p**

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

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

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

**18. cos(2x)**

**19. sin p/3**

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

**21. ln mn**

**22. Instantaneous velocity**

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

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

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

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

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

**28. sinx**

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

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

**31. cosx + sinx**

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

**33. sin p/6**

**34. 1 + tanx**

**35. cos 0**

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

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

**38. Average speed**

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

**40. Continuity & differentiability**

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

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

**43. tan x**

**44. Critical number**

**45. sin p/4**

**46. Volume of a Sphere**

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

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

**49. The limit as x approaches 0 of sin x / x**

**50. Guidelines for implicit differentiation**