## 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. 1 + cotx**

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

**3. Volume of a Sphere**

**4. Derivative**

**5. sin p/6**

**6. cos p/6**

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

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

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

**10. Surface Area of a Sphere**

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

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

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

**14. sin p/3**

**15. ln e**

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

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

**18. Circumference of a circle**

**19. sin 3p/2**

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

**21. csc x**

**22. cos p/2**

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

**24. sec x**

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

**26. Intermediate Value Theorem**

**27. Indeterminate form**

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

**29. Critical number**

**30. sin(2x)**

**31. Area of an equilateral triangle**

**32. Derivative of a constant**

**33. cos p/3**

**34. cot x**

**35. cos(2x)**

**36. The Product Rule**

**37. Power Rule for Derivatives**

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

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

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

**41. Mean Value Theorem**

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

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

**44. Guidelines for implicit differentiation**

**45. sin 0**

**46. cos p/4**

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

**48. cos p**

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

**50. sinx**