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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 vertical axis of the Cartesian coordinate system






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






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






4. The absolute value or magnitude of velocity






5. f(-x)= -f(x)






6. The reciprocal of the tangent function






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






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






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






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






11. 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






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






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






14. Notation used for the first derivative of a function






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






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






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






18. The inverse of the cosine function






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






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






21. Slope between two points on a function






22. The derivative of the first derivative






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






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






25. A line around which some body or curve rotates






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






27. The inverse of the tangent function






28. 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






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






30. 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)






31. The process by which an antiderivative is calculated






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






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






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






35. The inverse of the sine function






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






37. A line through two points on the curve






38. 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






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






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






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






42. 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






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






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






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






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






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






48. 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






49. 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






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