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






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






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






4. The process by which an antiderivative is calculated






5. The inverse of the cosine function






6. The horizontal axis of the Cartesian coordinate system






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






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






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






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






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. 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.






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






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






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






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






17. The absolute value or magnitude of velocity






18. The function that is integrated in an integral






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






20. 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






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






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






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






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






25. 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






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






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






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






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






30. A function that possesses a finite integral; the function must be continuous on the interval of integration






31. 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






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






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






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






35. The vertical axis of the Cartesian coordinate system






36. f(-x)= -f(x)






37. Notation used for the first derivative of a function






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






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






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






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






42. The inverse of the tangent function






43. 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






44. 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






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






46. A point of value of the independent variable at which the value of a fuunction is not equal to its limit as the value of the independent variable approaches that point - or where it is not defined






47. The reciprocal of the cosine function






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






49. 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)






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