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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. The function that is integrated in an integral






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






3. The absolute value or magnitude of velocity






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






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






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






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






8. The reciprocal of the cosine function






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






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






11. 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






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






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






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






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






16. The process by which an antiderivative is calculated






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






18. The inverse of the sine function






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






20. The process of evaluating an indefinite integral






21. 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






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






23. 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






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






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






26. The number which - when raised to the power of a given logarithm - produces a given number






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






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






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






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






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






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






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






34. The vertical axis of the Cartesian coordinate system






35. 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.






36. 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






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






38. Local maximums of minimums of a function






39. The inverse of the tangent function






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






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






42. A line around which a geometric figure is symmetrical






43. Slope between two points on a function






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






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






46. 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






47. 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






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






49. The process of finding the derivative of a function






50. 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