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






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






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






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






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






6. The reciprocal of the tangent function






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






8. A function such that the following is true






9. The reciprocal of the sine function






10. The function that is integrated in an integral






11. Slope between two points on a function






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






13. 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






14. 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.






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






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. The process of finding the derivative of a function






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






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






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






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






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






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






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






26. The vertical axis of the Cartesian coordinate system






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






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






29. The absolute value or magnitude of velocity






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






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






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






33. A function that possesses a finite integral; the function must be continuous on the interval of integration






34. 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






35. The horizontal axis of the Cartesian coordinate system






36. 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.






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






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






39. f(-x)= -f(x)






40. 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






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






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






43. 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






44. The process of evaluating an indefinite integral






45. 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)






46. 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






47. 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






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






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






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