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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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 limit of f as x approaches c from the right






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






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






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






5. The inverse of the cosine function






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






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






8. The derivative of the first derivative






9. A function such that the following is true






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






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






12. A=x=b






13. Slope between two points on a function






14. The function that is integrated in an integral






15. 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






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






17. A line around which some body or curve rotates






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






19. The solid figure generated by revolving a plane region around a line






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






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






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






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






24. The absolute value or magnitude of velocity






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






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






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






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






29. The process of finding the derivative of a function






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






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






32. A line through two points on the curve






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






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






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






36. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.






37. The y-coordinate of a point where a curve intersects the y-axis






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






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






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






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






42. The horizontal axis of the Cartesian coordinate system






43. The process by which an antiderivative is calculated






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






45. The reciprocal of the cosine function






46. 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






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






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






49. A line around which a geometric figure is symmetrical






50. The inverse of the sine function