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






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






3. For all x in [a -b] - f'(x)>0






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






5. The reciprocal of the cosine function






6. A differential equation y'=f(x -y) in which f can be expressed as a product of a function of x and a function of y






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






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






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






10. 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






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






12. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x






13. A function that is continuous on both the left and right side at that point






14. The absolute value or magnitude of velocity






15. The function that is integrated in an integral






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






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






18. The reciprocal of the tangent function






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






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






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






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






23. The reciprocal of the sine function






24. Notation used for the first derivative of a function






25. 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






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






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






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






29. 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






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






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






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






33. 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






34. 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






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






36. The inverse of the cosine function






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






38. 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






39. 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






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






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






42. A line through two points on the curve






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






44. A line around which some body or curve rotates






45. 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)






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






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






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






49. 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






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