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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. Slope between two points on a function






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






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






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






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






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






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






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






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






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






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






12. 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)






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






14. The process of evaluating an indefinite integral






15. 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






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






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






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






19. 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






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






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






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






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






24. The absolute value or magnitude of velocity






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






26. A=x=b






27. A function such that the following is true






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






29. A line around which some body or curve rotates






30. Local maximums of minimums of a function






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






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 highest value of a function for each value of the domain






34. A line through two points on the curve






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






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






37. 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






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






39. Notation used for the first derivative of a function






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






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






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






43. 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






44. 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






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






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






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






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






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






50. The reciprocal of the tangent function