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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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. A point where a function changes concavity; also - where the second derivative changes signs






2. The process by which an antiderivative is calculated






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






4. The inverse of the tangent function






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






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






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






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






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






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






11. A function such that the following is true






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






13. The process of evaluating an indefinite integral






14. A line around which a geometric figure is symmetrical






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






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






17. 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)






18. Local maximums of minimums of a function






19. The y-coordinate of a point where a curve intersects the y-axis






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






21. The reciprocal of the sine function






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






23. A=x=b






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






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






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






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






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






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






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






31. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.






32. The vertical axis of the Cartesian coordinate system






33. 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






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






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






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






37. The absolute value or magnitude of velocity






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






39. 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






40. 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






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






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






43. The derivative of the first derivative






44. 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






45. The horizontal axis of the Cartesian coordinate system






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






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






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






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






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