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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 inverse of the sine function






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






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






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






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






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






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






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






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






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






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






12. The reciprocal of the tangent function






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






14. 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.






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






16. 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






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






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






19. A function such that the following is true






20. A=x=b






21. The reciprocal of the sine function






22. Slope between two points on a function






23. 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






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






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






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






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






28. The inverse of the cosine function






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






30. The reciprocal of the cosine function






31. The absolute value or magnitude of velocity






32. 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






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






34. A line through two points on the curve






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






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






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






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






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






40. 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






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






42. The inverse of the tangent function






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






44. A line around which some body or curve rotates






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






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






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






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






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






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