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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. A line around which a geometric figure is symmetrical






2. The process of evaluating an indefinite integral






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






4. 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.






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






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






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






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






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






10. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points






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






12. The function that is integrated in an integral






13. The inverse of the cosine function






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






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






16. The inverse of the tangent function






17. A=x=b






18. 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.






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






20. 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






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






22. 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






23. f(-x)= -f(x)






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






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






26. The process of finding the derivative of a function






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






28. The horizontal axis of the Cartesian coordinate system






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






30. 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






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






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






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






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






35. A line around which some body or curve rotates






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






37. 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 right-most point of the sub-interval






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






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






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






41. The absolute value or magnitude of velocity






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






43. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation






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






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






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






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






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






49. A function such that the following is true






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