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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 function that is integrated in an integral






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






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






4. 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






5. 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






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






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. The reciprocal of the tangent function






9. A=x=b






10. The derivative of the first derivative






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






12. A line around which some body or curve rotates






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






14. Slope between two points on a function






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






16. The reciprocal of the cosine function






17. A line around which a geometric figure is symmetrical






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






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






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






21. The process by which an antiderivative is calculated






22. The inverse of the tangent function






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






24. 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






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






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






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






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






29. Local maximums of minimums of a function






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






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






32. 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






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






34. A line through two points on the curve






35. A function such that the following is true






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






37. 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)






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






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






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






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






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






43. The vertical axis of the Cartesian coordinate system






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






45. Either of the endpoints of an interval over which a definite integral is to be evaluated






46. 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






47. The process of finding the derivative of a function






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






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






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