## 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. If f '(x) = 0 and f'(x) < 0 -...**

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

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

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

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

**6. left riemann sum**

**7. Chain Rule**

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

**9. Limit comparison test**

**10. Particle is moving to the right/up**

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

**12. Indeterminate forms**

**13. Product Rule**

**14. y = sin(x) - y' =**

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

**16. Instantenous Rate of Change**

**17. absolute value of velocity**

**18. Fundamental Theorem of Calculus**

**19. use substitution to integrate when**

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

**21. Average Rate of Change**

**22. Formal definition of derivative**

**23. Second derivative of parametrically defined curve**

**24. Alternating series tes**

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

**26. nth term test**

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

**28. Particle is moving to the left/down**

**29. ? u dv =**

**30. Area inside one polar curve and outside another polar curve**

**31. Intermediate Value Theorem**

**32. Given v(t) find total distance travelled**

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

**34. Taylor series**

**35. indefinite integral**

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

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

**38. rate**

**39. average value of f(x)**

**40. Length of curve**

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

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

**43. Quotient Rule**

**44. Volume of solid of revolution - no washer**

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

**46. Converges absolutely**

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

**48. p-series test**

**49. methods of integration**

**50. mean value theorem**