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






2. The vertical axis of the Cartesian coordinate system






3. The absolute value or magnitude of velocity






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






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






6. 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






7. Local maximums of minimums of a function






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






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






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






11. The derivative of the first derivative






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






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






14. The reciprocal of the tangent function






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






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






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






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






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






20. 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






21. A=x=b






22. 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 midpoint of the sub-interval






23. A function such that the following is true






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






25. 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.






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






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






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






29. The reciprocal of the cosine function






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






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






32. The function that is integrated in an integral






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






34. The x-coordinate of the point where a curve intersects the x-axis






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






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






37. A line around which some body or curve rotates






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






39. A line around which a geometric figure is symmetrical






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






41. f(-x)= -f(x)






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






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






44. 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






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






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






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






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






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






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