## Test your basic knowledge |

# AP Calculus Bc

**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. Formal definition of derivative**

**2. rate**

**3. If g(x) = ? f(t) dt on interval 2 to x - then g'(x) =...**

**4. y = cos?(x) - y' =**

**5. y = tan?(x) - y' =**

**6. [(h1 - h2)/2]*base**

**7. absolute value of velocity**

**8. right riemann sum**

**9. When f '(x) changes from increasing to decreasing or decreasing to increasing - f(x) has a...**

**10. y = csc(x) - y' =**

**11. y = sec(x) - y' =**

**12. y = tan(x) - y' =**

**13. y = cot?(x) - y' =**

**14. Alternate definition of derivative**

**15. Converges conditionally**

**16. Fundamental Theorem of Calculus**

**17. y = cos(x) - y' =**

**18. area under a curve**

**19. Eatio test**

**20. Given v(t) find displacement**

**21. y = cot(x) - y' =**

**22. left riemann sum**

**23. Length of parametric curve**

**24. To draw a slope field - plug (x -y) coordinates into differential equation...**

**25. Taylor series**

**26. mean value theorem**

**27. Integral test**

**28. Volume of solid of revolution - washer**

**29. If f '(x) = 0 and f'(x) > 0 -...**

**30. definite integral**

**31. When f '(x) is decreasing - f(x) is...**

**32. Instantenous Rate of Change**

**33. use substitution to integrate when**

**34. To find absolute maximum on closed interval [a - b] - you must consider...**

**35. y = cos(3x)**

**36. y = e^x - y' = y' =**

**37. When is a function not differentiable**

**38. When f '(x) changes from negative to positive - f(x) has a...**

**39. Given velocity vectors dx/dt and dy/dt - find total distance travelled**

**40. When f '(x) is negative - f(x) is...**

**41. indefinite integral**

**42. Given velocity vectors dx/dt and dy/dt - find speed**

**43. area above x-axis is...**

**44. Volume of solid with base in the plane and given cross-section**

**45. p-series test**

**46. nth term test**

**47. Find interval of convergence**

**48. When f '(x) is increasing - f(x) is...**

**49. dP/dt = kP(M - P)**

**50. Limit comparison test**