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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. 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






3. A line around which some body or curve rotates






4. f(-x)= -f(x)






5. 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






6. A line around which a geometric figure is symmetrical






7. The process of evaluating an indefinite integral






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






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






10. The process of finding the derivative of a function






11. 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






12. The reciprocal of the cosine function






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






14. The derivative of the first derivative






15. The reciprocal of the sine function






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






17. 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






18. 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






19. The function that is integrated in an integral






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






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






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






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






24. The horizontal axis of the Cartesian coordinate system






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






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






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






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






29. A line through two points on the curve






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






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






32. A=x=b






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






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






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






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






37. The inverse of the sine function






38. The inverse of the cosine function






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






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






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






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






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






44. 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)






45. Any ordered pair (x -y) where f'(x)=0 or is undefined






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






47. The vertical axis of the Cartesian coordinate system






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






49. Local maximums of minimums of a function






50. 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







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