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






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






3. A line around which some body or curve rotates






4. 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






5. 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






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






7. A function that is a fixed numerical value for all elements of the domain of the function






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






9. The process of finding the derivative of a function






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






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






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






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






14. 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






15. 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






16. The process by which an antiderivative is calculated






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






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






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






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






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






22. The function that is integrated in an integral






23. The reciprocal of the tangent function






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. 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






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






27. 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)






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






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






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






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






32. 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






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






34. The inverse of the cosine function






35. The derivative of the first derivative






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 right-most point of the sub-interval






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






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






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






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






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






42. 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






43. 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






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






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






46. The vertical axis of the Cartesian coordinate system






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






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






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






50. f(-x)= -f(x)