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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. 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






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






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






4. The vertical axis of the Cartesian coordinate system






5. A line around which a geometric figure is symmetrical






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






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






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






9. The inverse of the sine function






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






11. The absolute value or magnitude of velocity






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






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






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 right-most point of the sub-interval






15. The reciprocal of the sine function






16. Local maximums of minimums of a function






17. A=x=b






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






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






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






21. 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






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






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






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






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






26. 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.






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






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






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






30. 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






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






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






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






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






35. 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






36. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression






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






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






39. 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






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






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






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






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






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






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






46. 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)






47. A line around which some body or curve rotates






48. The reciprocal of the cosine function






49. A line through two points on the curve






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