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






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






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






4. A line around which some body or curve rotates






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






6. 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






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






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






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






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






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






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






13. The process by which an antiderivative is calculated






14. The inverse of the tangent function






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






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






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






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






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






20. The reciprocal of the tangent function






21. A=x=b






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






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






24. The function that is integrated in an integral






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






26. 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






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






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






29. Slope between two points on a function






30. The derivative of the first derivative






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






32. A line around which a geometric figure is symmetrical






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






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






35. 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






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






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






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






39. 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






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






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






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






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






44. The process of finding the derivative of a function






45. 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.






46. 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






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






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






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






50. 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







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