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






2. 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






3. The horizontal axis of the Cartesian coordinate system






4. Local maximums of minimums of a function






5. The process of finding the derivative of a function






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






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






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






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






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






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






12. The reciprocal of the tangent function






13. 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






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 rate of change of position with respect to time






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. A=x=b






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






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






21. The ratio x/r with r being the distance of (x -y) from the origin






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






23. The function that is integrated in an integral






24. The inverse of the cosine function






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






26. The process by which an antiderivative is calculated






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






28. The reciprocal of the sine function






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






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






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






32. Slope between two points on a function






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






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






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






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






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






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






39. 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






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






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






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






43. A line through two points on the curve






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






45. The reciprocal of the cosine function






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






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






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






49. 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






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