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AP Calculus Vocab

Subjects : math, ap, calculus
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point

2. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation or an x-intercept of the graph

3. The rate of change of the velocity with respect to time. the second derivative of a position function

4. A segment from the center of the circle to a point on the circle

5. The set of all values that can be assumed by the independent variable of a function

6. In integrating composite function - either using pattern recognition or change of variables to perform the integration

7. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.

8. The x-coordinate of the point where a curve intersects the x-axis

9. A differential equation y'=f(x -y) in which f can be expressed as a product of a function of x and a function of y

10. To the graph of a function y=f(x) at a point x=a where exists the line through (a -f(a)) with slope f'(a)

11. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point

12. A rectangular sum of the area under a curve where the domain is divided into sub-intervals and the height of each rectangle is the function value at the midpoint of the sub-interval

13. Having a decreasing derivative as the independent variable increases; having a negative second derivative

14. The number which - when raised to the power of a given logarithm - produces a given number

15. 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

16. The vertical axis of the Cartesian coordinate system

17. The amount of change divided by the time it takes

18. A method of obtaining the derivative of a composite function

19. The limit of f as x approaches c from the right

20. A line perpendicular to a tangent line at the point of tangency

21. A line around which a geometric figure is symmetrical

22. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative

23. The inverse of the sine function

24. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)

25. The reciprocal of the tangent function

26. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis

27. In periodic functions - the height of the function at the maximum to the middle line

28. A function that is a fixed numerical value for all elements of the domain of the function

29. The inverse of the tangent function

30. For all x in [a -b] - f'(x)<0

31. The horizontal axis of the Cartesian coordinate system

32. The derivative of the first derivative

33. A=x=b

34. The set of points in a plane that are equidistant from a given point

35. A function has a relative minimum if the derivative changes signs from negative to zero to positive

36. Any ordered pair (x -y) where f'(x)=0 or is undefined

37. An arbitrary constant term in the expression of the indefinite integral of a function

38. The ratio x/r with r being the distance of (x -y) from the origin

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

40. The function y=lnx is the inverse of the exponential function y=e^x

41. Any function closely related to the exponential function - and in particular y=a^x - for any a

42. The absolute value or magnitude of velocity

43. Local maximums of minimums of a function

44. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side

45. A point of value of the independent variable at which the value of a fuunction is not equal to its limit as the value of the independent variable approaches that point - or where it is not defined

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

47. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x

48. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint

49. The process by which an antiderivative is calculated

50. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val