## 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. ln e**

**2. cosx + sinx**

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

**4. sin p/3**

**5. Intermediate Value Theorem**

**6. Critical number**

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

**8. sin 0**

**9. ln mn**

**10. sin p**

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

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

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

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

**15. Area of an equilateral triangle**

**16. Area of a circle**

**17. Instantaneous velocity**

**18. Constant Multiple Rule for Derivatives**

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

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

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

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

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

**24. sec x**

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

**26. Surface Area of a Sphere**

**27. tan x**

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

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

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

**31. Mean Value Theorem**

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

**33. cos 0**

**34. Circumference of a circle**

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

**36. sin p/6**

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

**38. sin(2x)**

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

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

**41. cos p/6**

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

**43. sin 3p/2**

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

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

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

**47. cos 3p/2**

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

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

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