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






3. Notation used for the first derivative of a function






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






5. Slope between two points on a function






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






7. 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






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






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






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






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






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 left-most point of the sub-interval






13. A line through two points on the curve






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






15. The absolute value or magnitude of velocity






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






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. A function such that the following is true






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






20. 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






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






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






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






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






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






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






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






29. 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






30. The vertical axis of the Cartesian coordinate system






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






32. 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






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






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






35. The reciprocal of the sine function






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






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






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






39. Local maximums of minimums of a function






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






41. A=x=b






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






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






44. 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






45. A line around which a geometric figure is symmetrical






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






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






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






49. The process of finding the derivative of a function






50. The function that is integrated in an integral