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AP Calculus Vocab

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

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

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

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

5. The vertical axis of the Cartesian coordinate system

6. 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

7. Notation used for the first derivative of a function

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

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

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

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

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

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

14. The inverse of the sine function

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

16. Local maximums of minimums of a function

17. 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

18. 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

19. A function such that the following is true

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

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

22. Slope between two points on a function

23. 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

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

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

26. 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

27. The reciprocal of the tangent function

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

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

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

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

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

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

34. A line through two points on the curve

35. 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

36. The inverse of the cosine function

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

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

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

40. 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.

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

42. 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.

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

44. The function that is integrated in an integral

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

46. A line around which some body or curve rotates

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

48. The inverse of the tangent function

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

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