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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 highest value of a function for each value of the domain






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






3. The derivative of the first derivative






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






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






7. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.






8. Notation used for the first derivative of a function






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






10. The function that is integrated in an integral






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






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






13. A line through two points on the curve






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






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






16. The inverse of the cosine function






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






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






19. The reciprocal of the cosine function






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






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






22. 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






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






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






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






26. A line around which some body or curve rotates






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






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






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






32. Slope between two points on a function






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






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






35. The reciprocal of the sine function






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






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






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






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






40. The inverse of the tangent function






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






42. A line around which a geometric figure is symmetrical






43. Local maximums of minimums of a function






44. 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






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






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






47. 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)






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






49. 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






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