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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 perpendicular to a tangent line at the point of tangency






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






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






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






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






6. f(-x)= -f(x)






7. 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)






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






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






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






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






12. 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






13. The inverse of the sine function






14. Local maximums of minimums of a function






15. Slope between two points on a function






16. A line around which some body or curve rotates






17. The set of points in a plane that are equidistant from a given point






18. 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






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






20. Notation used for the first derivative of a function






21. 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






22. The horizontal axis of the Cartesian coordinate system






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






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






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






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






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






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






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






30. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points






31. The derivative of the first derivative






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






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






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






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






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






37. 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






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






39. A line around which a geometric figure is symmetrical






40. The inverse of the cosine function






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






42. 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






43. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree






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






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






46. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.






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






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






49. The reciprocal of the cosine function






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