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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. A method of obtaining the derivative of a composite function






2. 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






3. 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






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






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






6. The horizontal axis of the Cartesian coordinate system






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






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






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






10. The function that is integrated in an integral






11. A line around which a geometric figure is symmetrical






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






13. The process of finding the derivative of a function






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






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






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






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






18. The derivative of the first derivative






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






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






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






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






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






24. The reciprocal of the sine function






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






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






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






29. A=x=b






30. f(-x)= -f(x)






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






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






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






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






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






36. The inverse of the sine function






37. 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






38. 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






39. 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)






40. Notation used for the first derivative of a function






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






42. Local maximums of minimums of a function






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






44. The differentiation of an implicit function with respect to the independent variable






45. The reciprocal of the cosine function






46. A function such that the following is true






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






48. A line around which some body or curve rotates






49. The vertical axis of the Cartesian coordinate system






50. 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.