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






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






3. 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






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






5. 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.






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






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






8. A function such that the following is true






9. 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






10. The vertical axis of the Cartesian coordinate system






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






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






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






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






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






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






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






18. 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






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






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






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






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






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






24. 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






25. A=x=b






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






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






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






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






30. 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)






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






32. 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






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






34. A line around which some body or curve rotates






35. A point where a function changes concavity; also - where the second derivative changes signs






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






37. 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






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






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






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






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






42. A line around which a geometric figure is symmetrical






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






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






45. 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






46. The process by which an antiderivative is calculated






47. The reciprocal of the tangent function






48. Notation used for the first derivative of a function






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






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