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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 point (0 -0) in the Cartesian coordinate plane






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






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






4. 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.






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






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






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






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






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






10. Local maximums of minimums of a function






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






12. 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)






13. f(-x)= -f(x)






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






15. 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






16. 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






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






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






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






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






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






22. The reciprocal of the sine function






23. The function that is integrated in an integral






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






25. The solid figure generated by revolving a plane region around a line






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






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






28. The process of finding the derivative of a function






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






30. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse






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






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






33. 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






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






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






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






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






38. 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






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






40. A line through two points on the curve






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






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






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






44. The inverse of the cosine function






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






46. A function such that the following is true






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






48. 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






49. The derivative of the first derivative






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