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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 line through two points on the curve






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






3. A line around which some body or curve rotates






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






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






6. The vertical axis of the Cartesian coordinate system






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






8. A=x=b






9. 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)






10. 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






11. The process of evaluating an indefinite integral






12. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation or an x-intercept of the graph






13. 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






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






15. The inverse of the cosine function






16. 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






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






18. The reciprocal of the tangent function






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






20. The derivative of the first derivative






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






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






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






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






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






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






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






28. The reciprocal of the cosine function






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






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






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






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






33. A function such that the following is true






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






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






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






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






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






39. Local maximums of minimums of a function






40. The function that is integrated in an integral






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






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






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






44. The inverse of the sine function






45. The reciprocal of the sine function






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






47. Slope between two points on a function






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






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






50. 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