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

2. 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

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

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

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

6. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point

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

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

9. Slope between two points on a function

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

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

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

13. A function that can be expressed in the form f(x)=mx+b

14. The process of finding the derivative of a function

15. 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.

16. 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.

17. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points

18. 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

19. The function that is integrated in an integral

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

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

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

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

24. 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)

25. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree

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

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

29. A function such that the following is true

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

31. An indefinite integral. an arbitrary constant '+c' is included

32. A line around which some body or curve rotates

33. The inverse of the tangent function

34. A=x=b

35. 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

36. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure

37. A line around which a geometric figure is symmetrical

38. 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

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

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

41. 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

42. 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

43. A function that is defined by applying different formulas to different parts of its domain

44. If a function has a well-defined derivative for each element of the domain

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

46. Having an increasing derivative as the independent variable increases - having a positive second derivative

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

48. 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

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

50. The vertical axis of the Cartesian coordinate system

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