## 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[tan x]**

**2. Rolle's Theorem**

**3. cos 0**

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

**5. Intermediate Value Theorem**

**6. cos p**

**7. Volume of a cone**

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

**9. The Quotient Rule**

**10. cos p/2**

**11. Constant Multiple Rule for Derivatives**

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

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

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

**15. sin p/6**

**16. sin p**

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

**18. Critical number**

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

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

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

**22. cosx**

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

**24. Power Rule for Derivatives**

**25. Derivative of a constant**

**26. Instantaneous velocity**

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

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

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

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

**31. Area of a circle**

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

**33. Mean Value Theorem**

**34. csc x**

**35. Area of an equilateral triangle**

**36. Guidelines for implicit differentiation**

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

**38. sec x**

**39. cosx + sinx**

**40. cos 3p/2**

**41. cos(2x)**

**42. Indeterminate form**

**43. Continuity & differentiability**

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

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

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

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

**48. ln 1**

**49. Circumference of a circle**

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