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

2. A line around which some body or curve rotates

3. The inverse of the sine function

4. 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

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

6. The reciprocal of the tangent function

7. The inverse of the tangent function

8. A line through two points on the curve

9. The horizontal axis of the Cartesian coordinate system

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

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

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

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

14. 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

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

16. The vertical axis of the Cartesian coordinate system

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

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

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

20. The process by which an antiderivative is calculated

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

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

23. A number which serves as an estimate of a desired number

24. The y-coordinate of a point where a curve intersects the y-axis

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

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

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

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

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

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

31. The reciprocal of the cosine function

32. 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

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

34. 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

35. The inverse of the cosine function

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

37. 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

38. 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.

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

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

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

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

43. The absolute value or magnitude of velocity

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

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

46. 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 left-most point of the sub-interval

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

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

49. Slope between two points on a function

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