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






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






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






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






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






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






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






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






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






10. A function such that the following is true






11. 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






12. f(-x)= -f(x)






13. The function that is integrated in an integral






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






15. 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






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






17. The process of evaluating an indefinite integral






18. The reciprocal of the sine function






19. The horizontal axis of the Cartesian coordinate system






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






21. Slope between two points on a function






22. The derivative of the first derivative






23. 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






24. A line around which a geometric figure is symmetrical






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






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






27. The absolute value or magnitude of velocity






28. 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






29. 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)






30. Local maximums of minimums of a function






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






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






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






34. 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






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






36. A line around which some body or curve rotates






37. The process by which an antiderivative is calculated






38. 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






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






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






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






42. Notation used for the first derivative of a function






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






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. A line through two points on the curve






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






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






48. Any ordered pair (x -y) where f'(x)=0 or is undefined






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






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