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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. The amount of change divided by the time it takes






2. The derivative of the first derivative






3. Local maximums of minimums of a function






4. 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






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






6. 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.






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






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






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






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






11. 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)






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






13. A line around which a geometric figure is symmetrical






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






15. The reciprocal of the tangent function






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






17. The function that is integrated in an integral






18. The vertical axis of the Cartesian coordinate system






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






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






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






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






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






24. Notation used for the first derivative of a function






25. A differential equation y'=f(x -y) in which f can be expressed as a product of a function of x and a function of y






26. The inverse of the cosine function






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






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






29. The process of finding the derivative of a function






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






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






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






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






34. Slope between two points on a function






35. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points






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






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






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






39. 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






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






41. The process by which an antiderivative is calculated






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






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






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






45. The reciprocal of the cosine function






46. A line around which some body or curve rotates






47. The horizontal axis of the Cartesian coordinate system






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






49. The process of evaluating an indefinite integral






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