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






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






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






4. The inverse of the tangent function






5. f(-x)= -f(x)






6. 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






7. 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






8. 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






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






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






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






12. The function that is integrated in an integral






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






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






15. The process of finding the derivative of a function






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






17. 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






18. A line around which a geometric figure is symmetrical






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






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






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






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






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






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






25. A function such that the following is true






26. The inverse of the sine function






27. 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)






28. The vertical axis of the Cartesian coordinate system






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






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






31. The derivative of the first derivative






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






33. The reciprocal of the tangent function






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






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






36. Slope between two points on a function






37. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point






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






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






40. A line through two points on the curve






41. 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






42. 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.






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






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






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






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






47. The horizontal axis of the Cartesian coordinate system






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






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






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