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






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






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






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






5. Slope between two points on a function






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






7. The horizontal axis of the Cartesian coordinate system






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






9. The inverse of the sine function






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






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






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






13. 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






14. A function such that the following is true






15. The reciprocal of the sine function






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






17. The absolute value or magnitude of velocity






18. 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






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






20. The inverse of the tangent function






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






22. 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






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






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






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






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






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






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






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






30. The process of finding the derivative of a function






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






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






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






34. Notation used for the first derivative of a function






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






36. A=x=b






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






38. 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






39. The inverse of the cosine function






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






41. A line through two points on the curve






42. 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)






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






44. The process of evaluating an indefinite integral






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






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






47. 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






48. 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






49. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation






50. The smallest value of a function for each value of the domain