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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 perpendicular to a tangent line at the point of tangency






2. The inverse of the cosine function






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






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






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






6. 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)






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






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






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






10. The reciprocal of the tangent function






11. The process by which an antiderivative is calculated






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






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






14. The process of finding the derivative of a function






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






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






17. 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.






18. f(-x)= -f(x)






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






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






21. The process of evaluating an indefinite integral






22. A line around which a geometric figure is symmetrical






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






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






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






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






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






28. A line around which some body or curve rotates






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






30. 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






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






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






33. A=x=b






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






35. The derivative of the first derivative






36. 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.






37. The function that is integrated in an integral






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






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






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






41. A function such that the following is true






42. The inverse of the sine function






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






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






45. The horizontal axis of the Cartesian coordinate system






46. The number which - when raised to the power of a given logarithm - produces a given number






47. Slope between two points on a function






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






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






50. The smallest value of a function for each value of the domain







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