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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 local and global maximums and minumums of a function






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






3. The derivative of the first derivative






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






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






6. The reciprocal of the tangent function






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






8. 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






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






10. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function






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






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






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






14. The absolute value or magnitude of velocity






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






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






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






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






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






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






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






22. Slope between two points on a function






23. f(-x)= -f(x)






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






25. Notation used for the first derivative of a function






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






27. 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






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






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






30. 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






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 right-most point of the sub-interval






32. The inverse of the cosine function






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






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






35. A function such that the following is true






36. A line around which a geometric figure is symmetrical






37. The reciprocal of the sine function






38. 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






39. 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






40. A=x=b






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






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






43. 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






44. The reciprocal of the cosine function






45. A line around which some body or curve rotates






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






47. The vertical axis of the Cartesian coordinate system






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






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






50. A line through two points on the curve