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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. A line around which some body or curve rotates






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






3. The absolute value or magnitude of velocity






4. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.






5. The process of evaluating an indefinite integral






6. f(-x)= -f(x)






7. 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






8. 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






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






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






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






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






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






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






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






16. 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






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






18. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points






19. A line around which a geometric figure is symmetrical






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






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






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






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






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






25. The horizontal axis of the Cartesian coordinate system






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






27. A=x=b






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






29. Slope between two points on a function






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






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






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






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






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






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






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






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






38. The reciprocal of the sine function






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






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






41. An arbitrary constant term in the expression of the indefinite integral of a function






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






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






44. The reciprocal of the tangent function






45. The function that is integrated in an integral






46. 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.






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






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






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






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