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AP Calculus Ab

Subjects : math, ap, calculus
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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. The limit of f as x approaches c from the right

2. A given value of x and f(x) used to find the constant of integration

3. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates

4. The local and global maximums and minimums of a function

5. Any value in the domain where either the function is not differentiable or its derivative is 0.

6. A function f that gives the position f(t) of a body on a coordinate axis at time t

7. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.

8. A measure of how a function changes as its input changes.

9. The inverse of an eponential function

10. A function that is continuous at every point on the interval

11. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum

12. A function that possesses a finite integral; the function must be continuous on the interval of integration

13. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.

14. The value of the function at a critical point

15. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum

16. A logarithm with the base e - written as ln

17. The function that is integrated in an integral

18. A function that is continuous on both the left and right side at that point

19. A point where a function changes concavity; also - where the second derivative changes signs

20. Amount of change / time it takes (amount of change/ length of interval)

21. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative

22. An undetermined constant added to every result of integration (the added +c)

23. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a

24. The process of evaluating an indefinite integral

25. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0

26. A variable occurring in a function - but on which the value of the function does not depend

27. The maximum distance that the particles of a wave's medium vibrate from their rest position

28. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined

29. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)

30. The value of the function approaches as x increases or decreases without bound

31. If y=f(x) is continuous at every point of the close interval [a -b] and differentiable at every point of its interior (a -b) - then there is at least one point c in (a -b) at which f'(c)= [f(b)-f(a)]/(b-a)

32. Curve whose points are at a fixed normal distance of a given curve

33. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x

34. The reciprocal of the sine function

35. Dividing an interval into n sub-intervals

36. sinA/a=sinB/b=sinC/c

37. Functions of angles

38. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)

39. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)

40. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.

41. N(1-r)^x

42. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1

43. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0

44. Ratio between the length of an arc and its radius

45. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)

46. If there is some number B that is greater than or equal to every number in the range of f

47. If a function is on the closed interval [a - b] and F is an antiderivative (?) of f on [a -b] then ?f(x) dx from a to b is F(b) - F(a)

48. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.

49. Graph is symmetrical with respect to the origin; f(-x)=-f(x)

50. (geometry)A curve generated by the intersection of a plane or circular cone