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






5. 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






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






7. 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






8. The absolute value or magnitude of velocity






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






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






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






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






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






14. A line around which some body or curve rotates






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






16. A=x=b






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






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






19. 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






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






21. 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






22. 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






23. The function that is integrated in an integral






24. The horizontal axis of the Cartesian coordinate system






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






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






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






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






29. The derivative of the first derivative






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






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






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






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






34. The x-coordinate of the point where a curve intersects the x-axis






35. The inverse of the cosine function






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






37. The inverse of the sine function






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






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






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






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






42. The process of finding the derivative of a function






43. The process of evaluating an indefinite integral






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






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






46. 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






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






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






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






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