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






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






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






4. Notation used for the first derivative of a function






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






6. The process of evaluating an indefinite integral






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






8. The reciprocal of the cosine function






9. f(-x)= -f(x)






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






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






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






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






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






16. A line around which some body or curve rotates






17. 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






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






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






20. 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.






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






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






23. The derivative of the first derivative






24. 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






25. A line around which a geometric figure is symmetrical






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






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






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






29. The function that is integrated in an integral






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






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






32. The absolute value or magnitude of velocity






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






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






35. The function y=lnx is the inverse of the exponential function y=e^x






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






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






38. 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






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






40. 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






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






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






44. The inverse of the cosine function






45. The process by which an antiderivative is calculated






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






47. Local maximums of minimums of a function






48. 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






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






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







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