## 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[log_a u]**

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

**3. cos 3p/2**

**4. sin p/3**

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

**6. Continuity & differentiability**

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

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

**9. Circumference of a circle**

**10. cosx**

**11. cos p/6**

**12. Instantaneous velocity**

**13. tan x**

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

**15. cos 0**

**16. sin p**

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

**18. Indeterminate form**

**19. Volume of a Sphere**

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

**21. Area of a circle**

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

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

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

**25. sec x**

**26. sin p/2**

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

**28. ln mn**

**29. Power Rule for Derivatives**

**30. cos p/4**

**31. Mean Value Theorem**

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

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

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

**35. Volume of a cone**

**36. Derivative**

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

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

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

**40. The Product Rule**

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

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

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

**44. The Quotient Rule**

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

**46. sin(2x)**

**47. sin 0**

**48. cos(2x)**

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

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