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






2. A line around which some body or curve rotates






3. The inverse of the sine function






4. 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






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






6. The reciprocal of the tangent function






7. The inverse of the tangent function






8. A line through two points on the curve






9. The horizontal axis of the Cartesian coordinate system






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






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






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






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






14. 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






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






16. The vertical axis of the Cartesian coordinate system






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






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






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






20. The process by which an antiderivative is calculated






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






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






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






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






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






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






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






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






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






30. A function that can be expressed in the form f(x)=mx+b






31. The reciprocal of the cosine function






32. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression






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






34. 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






35. The inverse of the cosine function






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






37. 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






38. 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.






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






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






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






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






43. The absolute value or magnitude of velocity






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






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






46. 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






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






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






49. Slope between two points on a function






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