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






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






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






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






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






7. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.






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






9. 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






10. 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)






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






12. 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






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






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






15. 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






16. The vertical axis of the Cartesian coordinate system






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






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






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






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






21. A line around which a geometric figure is symmetrical






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






23. The inverse of the sine function






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






25. The reciprocal of the tangent function






26. 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






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






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






29. The inverse of the tangent function






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






31. The horizontal axis of the Cartesian coordinate system






32. The derivative of the first derivative






33. A=x=b






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






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






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






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






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






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






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






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






42. The absolute value or magnitude of velocity






43. Local maximums of minimums of a function






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. 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






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






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






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






49. The process by which an antiderivative is calculated






50. 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