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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

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






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






3. A line around which some body or curve rotates






4. 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






5. 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






6. The reciprocal of the sine function






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






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






9. The process by which an antiderivative is calculated






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






11. The inverse of the tangent function






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






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






14. Local maximums of minimums of a function






15. 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






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






17. The reciprocal of the cosine function






18. A line around which a geometric figure is symmetrical






19. The process of finding the derivative of a function






20. A function such that the following is true






21. 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






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






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






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






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






26. 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






27. The inverse of the sine function






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






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






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






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






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






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






34. 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






35. 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.






36. The absolute value or magnitude of velocity






37. The function that is integrated in an integral






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






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






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






41. 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.






42. A=x=b






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






44. Notation used for the first derivative of a 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. The local and global maximums and minumums of a function






47. 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






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






49. 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






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