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






3. The process by which an antiderivative is calculated






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






5. 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






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






7. The reciprocal of the tangent function






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






9. 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






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






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






12. The inverse of the tangent function






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






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






15. The inverse of the sine function






16. The reciprocal of the sine function






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






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






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






20. Local maximums of minimums of a function






21. The derivative of the first derivative






22. The process of finding the derivative of a function






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






24. 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 left-most point of the sub-interval






25. 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






26. In integrating composite function - either using pattern recognition or change of variables to perform the integration






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






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






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






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






31. The reciprocal of the cosine function






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






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






34. The vertical axis of the Cartesian coordinate system






35. 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






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






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






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






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






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






41. A=x=b






42. The horizontal axis of the Cartesian coordinate system






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






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






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






46. The absolute value or magnitude of velocity






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






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






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






50. A line around which a geometric figure is symmetrical