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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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 process of finding the derivative of a function






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






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






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






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






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






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






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






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






10. A=x=b






11. The inverse of the tangent function






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






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






14. Notation used for the first derivative of a function






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






16. The vertical axis of the Cartesian coordinate system






17. 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






18. A line around which some body or curve rotates






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






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






21. 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






22. The inverse of the cosine function






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






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






25. 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)






26. 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






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






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






29. In an application - maximizing or minimizing some aspect of the system being modeled






30. 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






31. In periodic functions - the height of the function at the maximum to the middle line






32. The reciprocal of the tangent function






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






34. The process by which an antiderivative is calculated






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






36. 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






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






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






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






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






41. 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






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






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






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






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






46. The horizontal axis of the Cartesian coordinate system






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






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






49. The reciprocal of the sine function






50. The reciprocal of the cosine function