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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 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






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






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






4. A function such that the following is true






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






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






7. A point where a function changes concavity; also - where the second derivative changes signs






8. The reciprocal of the cosine function






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






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






11. 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






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






13. 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






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






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






16. 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)






17. The process of evaluating an indefinite integral






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






19. 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






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






21. Having an increasing derivative as the independent variable increases - having a positive second derivative






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






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






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






25. The inverse of the cosine function






26. The function that is integrated in an integral






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






28. A=x=b






29. Notation used for the first derivative of a function






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






31. A line around which some body or curve rotates






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






33. The absolute value or magnitude of velocity






34. 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






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






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






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






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. The process by which an antiderivative is calculated






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






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






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






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






44. A line through two points on the curve






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






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






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






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






49. The inverse of the sine function






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