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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 x-coordinate of the point where a curve intersects the x-axis






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






3. 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






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






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






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






7. Slope between two points on a function






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






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






10. 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






11. The process of finding the derivative of a function






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






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






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






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






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






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






18. The process of evaluating an indefinite integral






19. Having a decreasing derivative as the independent variable increases; having a negative second derivative






20. 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






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






22. The reciprocal of the tangent function






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






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






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






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






27. The horizontal axis of the Cartesian coordinate system






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






29. 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.






30. A line around which a geometric figure is symmetrical






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






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






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






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






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






36. 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






37. The inverse of the sine function






38. f(-x)= -f(x)






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






40. The inverse of the tangent function






41. 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)






42. 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






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






44. Notation used for the first derivative of a function






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






46. The process by which an antiderivative is calculated






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






49. The absolute value or magnitude of velocity






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







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