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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. Notation used for the first derivative of a function






2. 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






3. A line around which some body or curve rotates






4. 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






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






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






7. 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






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






9. A=x=b






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






11. The process by which an antiderivative is calculated






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






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






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






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






16. The reciprocal of the tangent function






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






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






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






20. The vertical axis of the Cartesian coordinate system






21. The point (0 -0) in the Cartesian coordinate plane






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






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






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






25. Local maximums of minimums of a function






26. The reciprocal of the cosine function






27. The derivative of the first derivative






28. A line around which a geometric figure is symmetrical






29. The absolute value or magnitude of velocity






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






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






32. 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)






33. The function y=lnx is the inverse of the exponential function y=e^x






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






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






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






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






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






39. 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






40. The function that is integrated in an integral






41. 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






42. 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






43. 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.






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






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






46. The inverse of the sine function






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






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






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






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