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AP Calculus Vocab

Subjects : math, ap, calculus
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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. Having an increasing derivative as the independent variable increases - having a positive second derivative

2. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse

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

4. The rate of change of position with respect to time

5. The reciprocal of the cosine function

6. 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

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

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

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

10. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression

11. The point (0 -0) in the Cartesian coordinate plane

12. The horizontal axis of the Cartesian coordinate system

13. The local and global maximums and minumums of a function

14. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.

15. The differentiation of an implicit function with respect to the independent variable

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

17. The highest value of a function for each value of the domain

18. The process of evaluating an indefinite integral

19. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration

20. The derivative of the first derivative

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

22. The reciprocal of the tangent function

23. For all x in [a -b] - f'(x)>0

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

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

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

27. A line through two points on the curve

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

29. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function

30. Local maximums of minimums of a function

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

32. Either of the endpoints of an interval over which a definite integral is to be evaluated

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

34. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative

35. The process of finding the derivative of a function

36. A=x=b

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

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

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

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

41. The inverse of the sine function

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

43. 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 right-most point of the sub-interval

44. The inverse of the cosine function

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

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

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

49. Any x values where f'(x)=0 or is undefined

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