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






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






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






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






5. The horizontal axis of the Cartesian coordinate system






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






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






8. 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)






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






10. The highest value of a function for each value of the domain






11. The process by which an antiderivative is calculated






12. Slope between two points on a function






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






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






15. The vertical axis of the Cartesian coordinate system






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






17. 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






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






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






20. 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






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






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






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






24. 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






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






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






27. A function such that the following is true






28. 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






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






30. A line through two points on the curve






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






32. A line around which some body or curve rotates






33. A line around which a geometric figure is symmetrical






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






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






36. Notation used for the first derivative of a function






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






38. The set of all values that can be assumed by the independent variable of a function






39. 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






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






41. The inverse of the tangent function






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






43. The derivative of the first derivative






44. 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






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






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






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






48. 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






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






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