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






2. 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






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






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






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






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






7. A line around which some body or curve rotates






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






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






10. 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)






11. 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 left-most point of the sub-interval






12. The inverse of the tangent function






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






14. 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






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






16. 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






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






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






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






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






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






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






23. The reciprocal of the sine function






24. Slope between two points on a function






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






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






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






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






29. Local maximums of minimums of a function






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






31. 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






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






33. 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






34. The derivative of the first derivative






35. The horizontal axis of the Cartesian coordinate system






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






37. The process by which an antiderivative is calculated






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






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






40. A function such that the following is true






41. 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






42. A line around which a geometric figure is symmetrical






43. The inverse of the cosine function






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






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






46. The process of finding the derivative of a function






47. 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






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






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






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







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