Test your basic knowledge |

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






2. 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






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






4. The process of evaluating an indefinite integral






5. 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.






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






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






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 left-most point of the sub-interval






9. Slope between two points on a function






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






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






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






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






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






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






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






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






18. 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






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






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






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






22. The function that is integrated in an integral






23. The inverse of the tangent function






24. A line through two points on the curve






25. The vertical axis of the Cartesian coordinate system






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






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






28. The process of finding the derivative of a function






29. f(-x)= -f(x)






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






31. 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






32. The absolute value or magnitude of velocity






33. The reciprocal of the tangent function






34. 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)






35. The derivative of the first derivative






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






37. The inverse of the cosine function






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






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






40. Notation used for the first derivative of a function






41. 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






42. A function such that the following is true






43. 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






44. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation or an x-intercept of the graph






45. Any x values where f'(x)=0 or is undefined






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






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






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






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






50. The reciprocal of the sine function