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






2. The process of finding the derivative of a function






3. 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






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






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






6. 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






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






8. A line around which some body or curve rotates






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






10. The reciprocal of the tangent function






11. A segment from the center of the circle to a point on the circle






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






13. The derivative of the first derivative






14. 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






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






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






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






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






19. 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






20. 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






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






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






23. A function such that the following is true






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






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






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






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






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






29. A function that is continuous at every point on the interval






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






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






32. The absolute value or magnitude of velocity






33. A line around which a geometric figure is symmetrical






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






35. The inverse of the cosine function






36. Local maximums of minimums of a function






37. The reciprocal of the sine function






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






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






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






41. The function that is integrated in an integral






42. Notation used for the first derivative of a function






43. 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






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






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






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






47. The horizontal axis of the Cartesian coordinate system






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






49. 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)






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