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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 point (0 -0) in the Cartesian coordinate plane






2. 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






3. 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






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






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






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






7. In integrating composite function - either using pattern recognition or change of variables to perform the integration






8. 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






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






10. 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






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






12. A segment from the center of the circle to a point on the circle






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






14. Slope between two points on a function






15. The function that is integrated in an integral






16. Notation used for the first derivative of a function






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






18. 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






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






20. 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






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






22. 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






23. A=x=b






24. The vertical axis of the Cartesian coordinate system






25. A line through two points on the curve






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






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






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






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






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






31. The reciprocal of the sine function






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






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






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






35. 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






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






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






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 right-most point of the sub-interval






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






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






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






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






43. 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






44. 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






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






46. A function such that the following is true






47. The inverse of the sine function






48. The inverse of the tangent function






49. 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






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







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