## 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. Average speed**

**2. Continuity & differentiability**

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

**4. sec x**

**5. sin p/4**

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

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

**8. ln e**

**9. Mean Value Theorem**

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

**11. Critical number**

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

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

**14. Rolle's Theorem**

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

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

**17. Surface Area of a Sphere**

**18. Derivative**

**19. Volume of a cone**

**20. sin 0**

**21. cos 0**

**22. The Quotient Rule**

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

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

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

**26. Instantaneous velocity**

**27. cos p**

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

**29. ln mn**

**30. Area of an equilateral triangle**

**31. Area of a circle**

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

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

**34. cos p/4**

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

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

**37. cos p/6**

**38. sin p/3**

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

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

**41. tan x**

**42. sin p**

**43. Limit Definition of a Derivative**

**44. cos 3p/2**

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

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

**47. 1 + cotx**

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

**49. sin p/2**

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