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






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






3. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration






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






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






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






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






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






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






10. 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






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






12. 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)






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






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






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






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






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






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






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






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






21. 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






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






23. 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






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






25. A line through two points on the curve






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






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






28. The process of finding the derivative of a function






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






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






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






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






33. The absolute value or magnitude of velocity






34. f(-x)= -f(x)






35. A=x=b






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






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






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






39. The process by which an antiderivative is calculated






40. The inverse of the sine function






41. The horizontal axis of the Cartesian coordinate system






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






43. 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






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






45. The vertical axis of the Cartesian coordinate system






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






47. Slope between two points on a function






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






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







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