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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 line through two points on the curve






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






3. 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.






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






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






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






7. Local maximums of minimums of a function






8. Slope between two points on a function






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






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






11. 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






12. A function such that the following is true






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






14. 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






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






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






17. A line around which some body or curve rotates






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






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






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






21. The process of finding the derivative of a function






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






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






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






25. 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






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






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






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






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






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






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






32. 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






33. 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






34. f(-x)= -f(x)






35. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates






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






37. The reciprocal of the cosine function






38. 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






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






40. The reciprocal of the tangent function






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






42. 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






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






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






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






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






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






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






49. The process of evaluating an indefinite integral






50. 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