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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 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






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






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






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






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






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






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






8. 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.






9. 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






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






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






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






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






14. 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






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






16. A line through two points on the curve






17. 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






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






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






20. 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






21. Notation used for the first derivative of a function






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






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






24. The reciprocal of the tangent function






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






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






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






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






29. The inverse of the cosine function






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






31. A line around which a geometric figure is symmetrical






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






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






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






35. The inverse of the sine function






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






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






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






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






40. 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






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






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






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






44. The derivative of the first derivative






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






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






47. A=x=b






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






49. 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






50. Local maximums of minimums of a function