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






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






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






4. 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






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






6. The function that is integrated in an integral






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






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






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






10. 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






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






12. The reciprocal of the cosine function






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






14. The inverse of the sine function






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






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






17. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression






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






19. 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






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






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






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






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






24. Local maximums of minimums of a function






25. 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)






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






27. A line around which some body or curve rotates






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






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






30. The process of finding the derivative of a function






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






32. The inverse of the cosine function






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






34. The process by which an antiderivative is calculated






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






36. 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






37. The process of evaluating an indefinite integral






38. 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






39. A line through two points on the curve






40. 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






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






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






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






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






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






46. The absolute value or magnitude of velocity






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






48. Notation used for the first derivative of a function






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






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