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






2. 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






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






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






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






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






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






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






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






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






11. A function that can be expressed in the form f(x)=mx+b






12. 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






13. A line through two points on the curve






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






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






16. The function that is integrated in an integral






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






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






19. The process of finding the derivative of a function






20. The vertical axis of the Cartesian coordinate system






21. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points






22. 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.






23. 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






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






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






26. An arbitrary constant term in the expression of the indefinite integral of a function






27. 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.






28. 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






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






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






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






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






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






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






35. Notation used for the first derivative of a function






36. The process of evaluating an indefinite integral






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






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






39. 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






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






41. The absolute value or magnitude of velocity






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






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






44. 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






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






46. The derivative of the first derivative






47. 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)






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






49. Local maximums of minimums of a function






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







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