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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 segment from the center of the circle to a point on the circle






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






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






4. The function that is integrated in an integral






5. The process of evaluating an indefinite integral






6. Local maximums of minimums of a function






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






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






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






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






11. The vertical axis of the Cartesian coordinate system






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






13. f(-x)= -f(x)






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






15. The reciprocal of the tangent function






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






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






18. 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.






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






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






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






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






23. The process by which an antiderivative is calculated






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






25. A line around which a geometric figure is symmetrical






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






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






28. 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






29. 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






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






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






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






33. The reciprocal of the cosine function






34. 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






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






36. A line around which some body or curve rotates






37. The inverse of the cosine function






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






39. The process of finding the derivative of a function






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






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






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






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






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






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






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






47. 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






48. 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)






49. The set of all values that can be assumed by the independent variable of a function






50. The horizontal axis of the Cartesian coordinate system