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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 limit of f as x approaches c from the right






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






3. A function such that the following is true






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






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






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






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






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






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






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






11. If a function has a well-defined derivative for each element of the domain






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






13. The inverse of the tangent function






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






15. The reciprocal of the cosine function






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






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






18. 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






19. The function that is integrated in an integral






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






21. 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






22. 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)






23. Notation used for the first derivative of a function






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






25. The process of evaluating an indefinite integral






26. The reciprocal of the sine function






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






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






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






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






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






32. 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.






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






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






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






36. 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






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






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






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






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






41. The reciprocal of the tangent function






42. A line through two points on the curve






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






44. The inverse of the cosine function






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






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






47. A line around which some body or curve rotates






48. The process by which an antiderivative is calculated






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






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