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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 absolute value or magnitude of velocity






2. The highest value of a function for each value of the domain






3. 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






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 right-most point of the sub-interval






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






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






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






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






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






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






11. The process of evaluating an indefinite integral






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






13. 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






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






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






16. 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






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






18. Slope between two points on a function






19. The process of finding the derivative of a function






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






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






22. 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






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






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






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






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






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






28. The horizontal axis of the Cartesian coordinate system






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






30. f(-x)= -f(x)






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






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






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






34. 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






35. The reciprocal of the cosine function






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






37. 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






38. 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.






39. The inverse of the cosine function






40. The inverse of the tangent function






41. The process by which an antiderivative is calculated






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






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






44. Notation used for the first derivative of a function






45. The reciprocal of the tangent function






46. The function that is integrated in an integral






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






48. The vertical axis of the Cartesian coordinate system






49. 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.






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