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






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






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






4. 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






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






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






7. The function that is integrated in an integral






8. The inverse of the cosine function






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






10. The horizontal axis of the Cartesian coordinate system






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 local and global maximums and minumums of a function






13. 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






14. The derivative of the first derivative






15. The process by which an antiderivative is calculated






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






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






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






19. The vertical axis of the Cartesian coordinate system






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






21. The inverse of the sine function






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






23. 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






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






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






26. A=x=b






27. 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






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






29. The process of evaluating an indefinite integral






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






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






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






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






34. Notation used for the first derivative of a function






35. The reciprocal of the tangent function






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






37. A method of obtaining the derivative of a composite 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 midpoint of the sub-interval






39. A line around which some body or curve rotates






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






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






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






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






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






45. Slope between two points on a function






46. The reciprocal of the sine function






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






48. Local maximums of minimums of a function






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






50. 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