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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. 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






2. A function such that the following is true






3. The reciprocal of the cosine function






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






5. The reciprocal of the tangent function






6. A=x=b






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






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






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






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






11. Either of the endpoints of an interval over which a definite integral is to be evaluated






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






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






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






15. 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.






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






17. 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






18. 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






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






20. 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






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






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






23. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)






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






25. The reciprocal of the sine function






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






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






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






29. The inverse of the cosine function






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






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






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






33. Slope between two points on a function






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






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






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






37. The inverse of the tangent function






38. 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






39. The derivative of the first derivative






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






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






42. 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






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






44. The vertical axis of the Cartesian coordinate system






45. The absolute value or magnitude of velocity






46. The inverse of the sine function






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






48. 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






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






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