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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 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






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






3. The derivative of the first derivative






4. 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






5. 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.






6. A=x=b






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






8. The amount of change divided by the time it takes






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






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






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






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






13. The function that is integrated in an integral






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






15. The reciprocal of the cosine function






16. 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






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






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






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






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






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






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






23. 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 right-most point of the sub-interval






24. 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.






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






26. A line around which some body or curve rotates






27. A line around which a geometric figure is symmetrical






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






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






30. A line through two points on the curve






31. 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






32. 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)






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






34. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation






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






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






37. A function such that the following is true






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






39. Notation used for the first derivative of a function






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






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






42. The process by which an antiderivative is calculated






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






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






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






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






47. 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






48. The absolute value or magnitude of velocity






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






50. 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