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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 differentiation of an implicit function with respect to the independent variable






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






3. A line around which some body or curve rotates






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






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






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






7. The function that is integrated in an integral






8. Local maximums of minimums of a function






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






10. 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






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






12. 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






13. 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






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






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






16. Notation used for the first derivative of a function






17. The inverse of the sine function






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






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






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






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






22. 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






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






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






25. 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






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






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






28. 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






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






30. The process by which an antiderivative is calculated






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






32. A line through two points on the curve






33. 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






34. 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.






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






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






37. The horizontal axis of the Cartesian coordinate system






38. f(-x)= -f(x)






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






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






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






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






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






44. 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)






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






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






47. 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






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






49. A=x=b






50. The derivative of the first derivative







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