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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 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






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






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 left-most point of the sub-interval






4. 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






5. The vertical axis of the Cartesian coordinate system






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






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






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






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






10. The process by which an antiderivative is calculated






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






12. A line around which some body or curve rotates






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






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






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






17. 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






18. f(-x)= -f(x)






19. The smallest value of a function for each value of the domain






20. A point where a function changes concavity; also - where the second derivative changes signs






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






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






23. 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.






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






25. Local maximums of minimums of a function






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






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






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






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






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






31. 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






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






33. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse






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






35. The function that is integrated in an integral






36. The reciprocal of the cosine function






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






38. The function y=lnx is the inverse of the exponential function y=e^x






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






40. 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)






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






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






43. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side






44. The derivative of the first derivative






45. 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






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






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






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






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






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