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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. In an application - maximizing or minimizing some aspect of the system being modeled






2. 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






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






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 left-most point of the sub-interval






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






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






7. The horizontal axis of the Cartesian coordinate system






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






9. 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






10. 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






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






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






13. The process by which an antiderivative is calculated






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






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. The inverse of the tangent function






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






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






19. A function that is a fixed numerical value for all elements of the domain of the function






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






21. 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






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






23. A=x=b






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






25. 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.






26. A line around which some body or curve rotates






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






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






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






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






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






32. The absolute value or magnitude of velocity






33. The vertical axis of the Cartesian coordinate system






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






35. The process of finding the derivative of a function






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






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






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






39. Local maximums of minimums of a function






40. Slope between two points on a function






41. The function that is integrated in an integral






42. A line through two points on the curve






43. A line around which a geometric figure is symmetrical






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






45. 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)






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






47. A function such that the following is true






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






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






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