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






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






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






4. f(-x)= -f(x)






5. The inverse of the cosine function






6. A line through two points on the curve






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






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






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






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






11. The inverse of the tangent function






12. Slope between two points on a function






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






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






15. 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






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






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






18. The derivative of the first derivative






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






20. A line around which some body or curve rotates






21. The vertical axis of the Cartesian coordinate system






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






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






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






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






26. 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






27. A=x=b






28. 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






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






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






31. A function that is a fixed numerical value for all elements of the domain of the function






32. 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






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






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






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






36. 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






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






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






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






40. The inverse of the sine function






41. The reciprocal of the sine function






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






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






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






45. Local maximums of minimums of a function






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






47. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point






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






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






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