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






2. 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






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






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






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






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






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






8. The reciprocal of the tangent function






9. 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)






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






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






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






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






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






15. 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






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






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






18. The inverse of the tangent function






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






20. 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






21. A=x=b






22. The absolute value or magnitude of velocity






23. A line through two points on the curve






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






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






26. Slope between two points on a function






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






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






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






30. The inverse of the sine function






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






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






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






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






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






36. The highest value of a function for each value of the domain






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






38. The reciprocal of the sine function






39. The inverse of the cosine function






40. Any x values where f'(x)=0 or is undefined






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






42. 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






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






44. 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






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 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






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






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






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






50. Local maximums of minimums of a function