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






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






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






4. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side






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






6. The process by which an antiderivative is calculated






7. The process of evaluating an indefinite integral






8. A function such that the following is true






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






10. A line around which some body or curve rotates






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






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






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






14. 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)






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






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






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






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






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






20. The number which - when raised to the power of a given logarithm - produces a given number






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






22. 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






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






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






25. The inverse of the sine function






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






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






28. The absolute value or magnitude of velocity






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






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






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






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






33. The function that is integrated in an integral






34. The process of finding the derivative of a function






35. 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






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






37. The reciprocal of the sine function






38. The reciprocal of the cosine function






39. A=x=b






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






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






42. The vertical axis of the Cartesian coordinate system






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






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






45. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point






46. A line around which a geometric figure is symmetrical






47. 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






48. 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






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






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