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

**2. Converges absolutely**

**3. definite integral**

**4. Quotient Rule**

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

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

**7. L'Hopitals rule**

**8. Geometric series test**

**9. Integral test**

**10. right riemann sum**

**11. Alternate definition of derivative**

**12. slope of horizontal line**

**13. P = M / (1 + Ae^(-Mkt))**

**14. left riemann sum**

**15. 6th degree Taylor Polynomial**

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

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

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

**19. Alternating series tes**

**20. Formal definition of derivative**

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

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

**23. Intermediate Value Theorem**

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

**25. Length of curve**

**26. Converges conditionally**

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

**28. Instantenous Rate of Change**

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

**30. Find interval of convergence**

**31. ? u dv =**

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

**33. Area inside polar curve**

**34. To find particular solution to differential equation - dy/dx = x/y...**

**35. Taylor series**

**36. methods of integration**

**37. y = x cos(x) - state rule used to find derivative**

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

**39. Indeterminate forms**

**40. Chain Rule**

**41. y = sin?(x) - y' =**

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

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

**44. Product Rule**

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

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

**47. slope of vertical line**

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

**49. Linearization**

**50. rate**