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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 solid figure generated by revolving a plane region around a line






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






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






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






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






6. The derivative of the first derivative






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






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 midpoint of the sub-interval






9. 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






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






11. Slope between two points on a function






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






13. The horizontal axis of the Cartesian coordinate system






14. 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






15. The inverse of the tangent function






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






17. A line around which some body or curve rotates






18. 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






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






20. The inverse of the sine function






21. 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






22. 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






23. The process of finding the derivative of a function






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






25. The inverse of the cosine function






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






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






28. Local maximums of minimums of a function






29. The reciprocal of the cosine function






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






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






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






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






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






35. A function such that the following is true






36. 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)






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






38. A line around which a geometric figure is symmetrical






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






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






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






42. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.






43. A=x=b






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






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






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






47. 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






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






49. 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.






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