Test your basic knowledge |

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






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






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






4. The function that is integrated in an integral






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






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






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






8. f(-x)= -f(x)






9. 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






10. The process of finding the derivative of a function






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






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






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






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






15. Notation used for the first derivative of a function






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






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






18. A line around which some body or curve rotates






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






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






21. 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






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






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






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






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






26. A line around which a geometric figure is symmetrical






27. The reciprocal of the sine function






28. A line through two points on the curve






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






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






31. The reciprocal of the tangent function






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






33. The vertical axis of the Cartesian coordinate system






34. 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






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






36. Local maximums of minimums of a function






37. 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






38. The inverse of the sine function






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






40. The horizontal axis of the Cartesian coordinate system






41. The process of evaluating an indefinite integral






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






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






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






45. The inverse of the cosine function






46. 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






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






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






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






50. 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