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. 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






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






3. Slope between two points on a function






4. The reciprocal of the cosine function






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






6. Local maximums of minimums of a function






7. The reciprocal of the tangent function






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






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






10. The horizontal axis of the Cartesian coordinate system






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






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






13. The inverse of the tangent function






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






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






16. f(-x)= -f(x)






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






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






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






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






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 left-most point of the sub-interval






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






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






24. The process of finding the derivative of a function






25. A function such that the following is true






26. 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






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






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






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






30. 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






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






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






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






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






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






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






37. The function that is integrated in an integral






38. Notation used for the first derivative of a function






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






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






41. A line around which a geometric figure is symmetrical






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






43. 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






44. 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.






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






46. A=x=b






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






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






49. The reciprocal of the sine function






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