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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.
  • 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 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






2. The reciprocal of the tangent function






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






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






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






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






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






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






9. A line around which a geometric figure is symmetrical






10. 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)






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






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






13. A line through two points on the curve






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






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






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






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






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






19. The inverse of the tangent function






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






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






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






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






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






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 that is continuous at every point on the interval






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






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






29. 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






30. 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






31. An indefinite integral. an arbitrary constant '+c' is included






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






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






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






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






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






37. The inverse of the sine function






38. Notation used for the first derivative of a function






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






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






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






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






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






45. f(-x)= -f(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 process by which an antiderivative is calculated






48. 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






49. A line around which some body or curve rotates






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







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