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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 inverse of the sine function






2. 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






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






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






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






6. Slope between two points on a function






7. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point






8. A line through two points on the curve






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






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






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






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






13. The function y=lnx is the inverse of the exponential function y=e^x






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






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






16. 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






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






18. f(-x)= -f(x)






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






20. The solid figure generated by revolving a plane region around a line






21. 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






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






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






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






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






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






27. The absolute value or magnitude of velocity






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






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






30. The reciprocal of the cosine function






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






32. A function such that the following is true






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






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






35. 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)






36. Either of the endpoints of an interval over which a definite integral is to be evaluated






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






38. A line around which some body or curve rotates






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






40. The inverse of the cosine function






41. The process by which an antiderivative is calculated






42. A=x=b






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






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






45. The process of finding the derivative of a function






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






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






48. The reciprocal of the tangent function






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






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