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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 x-coordinate of the point where a curve intersects the x-axis






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 process of evaluating an indefinite integral






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






5. The reciprocal of the tangent function






6. 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






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






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






9. The derivative of the first derivative






10. 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






11. 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






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






13. The function that is integrated in an integral






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






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






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






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






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






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






20. The reciprocal of the cosine function






21. f(-x)= -f(x)






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






23. The inverse of the tangent function






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






25. 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)






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






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






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






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






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






31. The vertical axis of the Cartesian coordinate system






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






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






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






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






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






37. Local maximums of minimums of a function






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






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






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






41. A function such that the following is true






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






43. A line around which some body or curve rotates






44. The absolute value or magnitude of velocity






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






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






48. The inverse of the cosine function






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






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