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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. 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






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






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






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






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






6. A line around which some body or curve rotates






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






8. A line through two points on the curve






9. 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






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






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






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






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






14. Notation used for the first derivative of a function






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






16. In an application - maximizing or minimizing some aspect of the system being modeled






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






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






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






20. The process of finding the derivative of a function






21. 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






22. A function such that the following is true






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






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






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






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






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






28. Slope between two points on a function






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






30. 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






31. 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






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






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






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






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






36. 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






37. The vertical axis of the Cartesian coordinate system






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






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






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






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






42. A line around which a geometric figure is symmetrical






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






44. The derivative of the first derivative






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






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






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






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






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






50. 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)