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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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 integral without any specified limits - whose solution includes an undetermined constant C; antiderivative






2. 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






3. 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






4. A line around which a geometric figure is symmetrical






5. Local maximums of minimums of a function






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






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






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






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






10. The inverse of the sine function






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






12. A line around which some body or curve rotates






13. The inverse of the cosine function






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






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






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






17. 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






18. The inverse of the tangent function






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






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






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






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






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






24. 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






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






26. The process of evaluating an indefinite integral






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






28. In an application - maximizing or minimizing some aspect of the system being modeled






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






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






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






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






33. The process of finding the derivative of a function






34. 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






35. 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.






36. 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






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






38. The x-coordinate of the point where a curve intersects 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 left-most point of the sub-interval






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






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






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






43. A function that is defined by applying different formulas to different parts of its domain






44. A function such that the following is true






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






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






47. 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






48. The reciprocal of the tangent function






49. 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






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