Test your basic knowledge |

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 function such that the following is true






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






3. The process of evaluating an indefinite integral






4. f(-x)= -f(x)






5. The derivative of the first derivative






6. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree






7. The vertical axis of the Cartesian coordinate system






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






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






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






11. The function that is integrated in an integral






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






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






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






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






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






17. The horizontal axis of the Cartesian coordinate system






18. The process of finding the derivative of a function






19. 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






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






21. 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)






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






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






24. 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






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






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






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






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






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






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






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






32. A function that possesses a finite integral; the function must be continuous on the interval of integration






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






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






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






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






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






38. A line around which a geometric figure is symmetrical






39. The inverse of the cosine function






40. 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






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






42. 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






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






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






45. If a function has a well-defined derivative for each element of the domain






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






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






48. 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.






49. The process by which an antiderivative is calculated






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