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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.
  • 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 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






2. f(-x)= -f(x)






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






4. A line around which a geometric figure is symmetrical






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






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






7. The absolute value or magnitude of velocity






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






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






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






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






12. The reciprocal of the cosine function






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






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






15. A function f that gives the position f(t) of a body on a coordinate axis at time t






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






18. 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






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






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






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






22. 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






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






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






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






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






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






28. 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






29. 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






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






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






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






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






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






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






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






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






40. For all x in [a -b] - f'(x)<0






41. The process of finding the derivative of a function






42. The vertical axis of the Cartesian coordinate system






43. The function that is integrated in an integral






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






45. A line through two points on the curve






46. The horizontal axis of the Cartesian coordinate system






47. The reciprocal of the sine function






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






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. 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