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

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

**3. Indeterminate form**

**4. cosx + sinx**

**5. sin p/4**

**6. sec x**

**7. Area of a circle**

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

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

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

**11. Volume of a Sphere**

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

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

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

**15. cot x**

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

**17. Circumference of a circle**

**18. sin(2x)**

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

**20. cos p/6**

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

**22. Extreme Value Theorem**

**23. cos(2x)**

**24. The Quotient Rule**

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

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

**27. tan x**

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

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

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

**31. Limit Definition of a Derivative**

**32. sin p/2**

**33. 1 + tanx**

**34. sin p**

**35. Area of an equilateral triangle**

**36. Volume of a cone**

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

**38. sin 3p/2**

**39. ln mn**

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

**41. The Product Rule**

**42. sin 0**

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

**44. cos p/3**

**45. cos p**

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

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

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

**49. Instantaneous velocity**

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