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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=x=b






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






3. The function that is integrated in an integral






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






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






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






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






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






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






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






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






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






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






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






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






16. The absolute value or magnitude of velocity






17. 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






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






19. f(-x)= -f(x)






20. The horizontal axis of the Cartesian coordinate system






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






22. The process of evaluating an indefinite integral






23. The reciprocal of the sine function






24. 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






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






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






27. The vertical axis of the Cartesian coordinate system






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






29. 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






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






31. The inverse of the sine function






32. A line through two points on the curve






33. 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






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






35. Notation used for the first derivative of a function






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






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






38. 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)






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






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






41. Local maximums of minimums of a function






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






43. Slope between two points on a function






44. The process of finding the derivative of a function






45. A point where a function changes concavity; also - where the second derivative changes signs






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






47. 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






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






49. 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.






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