## 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[ f(x) g(x) ]**

**2. sin 3p/2**

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

**4. Rolle's Theorem**

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

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

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

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

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

**10. The Quotient Rule**

**11. Limit Definition of a Derivative**

**12. Derivative**

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

**14. sin p/3**

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

**16. sin p/2**

**17. Indeterminate form**

**18. Mean Value Theorem**

**19. Volume of a Sphere**

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

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

**22. Constant Multiple Rule for Derivatives**

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

**24. cos p/4**

**25. Continuity & differentiability**

**26. cosx + sinx**

**27. Critical number**

**28. The Product Rule**

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

**30. cos 3p/2**

**31. cos 0**

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

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

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

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

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

**37. Power Rule for Derivatives**

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

**39. Intermediate Value Theorem**

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

**41. sin(2x)**

**42. Extreme Value Theorem**

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

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

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

**46. cos p/3**

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

**48. 1 + cotx**

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

**50. Area of an equilateral triangle**