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






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






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






4. The vertical axis of the Cartesian coordinate system






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






6. 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






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






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






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






10. 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






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






12. A line around which a geometric figure is symmetrical






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






14. Notation used for the first derivative of a function






15. The absolute value or magnitude of velocity






16. A line around which some body or curve rotates






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






18. A function such that the following is true






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






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






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






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






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






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






25. The process by which an antiderivative is calculated






26. Slope between two points on a function






27. 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






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






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






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






31. 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






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






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






34. The reciprocal of the tangent function






35. 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






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






37. The derivative of the first derivative






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






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






40. The inverse of the tangent function






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






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






43. The reciprocal of the sine function






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






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






46. 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






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






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






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






50. The process of finding the derivative of a function