Test your basic knowledge |

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






2. Local maximums of minimums of a function






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






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






5. A line around which some body or curve rotates






6. 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






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






8. 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






9. 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






10. The reciprocal of the tangent function






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






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






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






14. 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 midpoint of the sub-interval






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






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






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






18. A line through two points on the curve






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






20. The inverse of the cosine function






21. The horizontal axis of the Cartesian coordinate system






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






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






24. 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






25. The process of finding the derivative of a function






26. 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






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






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






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






30. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point






31. 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.






32. Slope between two points on a function






33. 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






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






35. The derivative of the first derivative






36. f(-x)= -f(x)






37. The absolute value or magnitude of velocity






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






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






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






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






42. A line around which a geometric figure is symmetrical






43. The vertical axis of the Cartesian coordinate system






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






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






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






47. A function such that the following is true






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






49. Notation used for the first derivative of a function






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