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






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






3. 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






4. 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






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






6. 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.






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






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






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






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






11. 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






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






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






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






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






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






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






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






19. The reciprocal of the cosine function






20. A line around which some body or curve rotates






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






22. The reciprocal of the tangent function






23. A line around which a geometric figure is symmetrical






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






25. The horizontal axis of the Cartesian coordinate system






26. A line through two points on the curve






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






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






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






30. Slope between two points on a function






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






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






33. 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)






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






35. The reciprocal of the sine function






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






37. 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






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






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






40. 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






41. The inverse of the tangent function






42. The inverse of the cosine function






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






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






45. The absolute value or magnitude of velocity






46. The process of finding the derivative of a function






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






48. f(-x)= -f(x)






49. The function that is integrated in an integral






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