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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 function such that the following is true






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






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






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






5. 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






6. Local maximums of minimums of a function






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






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






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






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






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






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






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






14. A=x=b






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






16. The process by which an antiderivative is calculated






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






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






19. The inverse of the tangent function






20. 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






21. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point






22. 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)






23. 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






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






25. The inverse of the cosine function






26. The reciprocal of the tangent function






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






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






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






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






31. The absolute value or magnitude of velocity






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






33. A line around which some body or curve rotates






34. The vertical axis of the Cartesian coordinate system






35. 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






36. 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






37. The horizontal axis of the Cartesian coordinate system






38. The inverse of the sine function






39. A line around which a geometric figure is symmetrical






40. 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






41. 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






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






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






44. 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.






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






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






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






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






49. A function that can be expressed in the form f(x)=mx+b






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






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