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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. Notation used for the first derivative of a function






2. A line around which a geometric figure is symmetrical






3. The vertical axis of the Cartesian coordinate system






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






5. 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






6. 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)






7. 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






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






9. 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.






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






11. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation or an x-intercept of the graph






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






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






14. 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






15. 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






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






17. The process of evaluating an indefinite integral






18. 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






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






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






21. Local maximums of minimums of a function






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






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






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






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






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






27. f(-x)= -f(x)






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






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






30. The inverse of the tangent function






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






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






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






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






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






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






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






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 process of finding the derivative of a function






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






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






42. The horizontal axis of the Cartesian coordinate system






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






44. 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






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






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






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






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






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






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