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






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






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






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






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






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






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






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






9. A function such that the following is true






10. 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






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






12. Local maximums of minimums of a function






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






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






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






16. The reciprocal of the sine function






17. 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)






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






19. A number which serves as an estimate of a desired number






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






21. 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






22. The derivative of the first derivative






23. 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






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






25. 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.






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






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






28. A line through two points on the curve






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






30. 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






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






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






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






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






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






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






37. A line around which some body or curve rotates






38. The function that is integrated in an integral






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






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






41. The absolute value or magnitude of velocity






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






43. The process of evaluating an indefinite integral






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






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






46. f(-x)= -f(x)






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






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






49. Notation used for the first derivative of a function






50. Any function closely related to the exponential function - and in particular y=a^x - for any a