Test your basic knowledge |

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. 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.






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






3. The function that is integrated in an integral






4. The inverse of the tangent function






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






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






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






8. Notation used for the first derivative of a function






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






10. 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






11. 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






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






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






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






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






16. A line through two points on the curve






17. The horizontal axis of the Cartesian coordinate system






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






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






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






21. A function such that the following is true






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






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






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






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






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






27. The inverse of the sine function






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






29. The vertical axis of the Cartesian coordinate system






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






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






32. 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






33. A=x=b






34. 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






35. Local maximums of minimums of a function






36. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration






37. The absolute value or magnitude of velocity






38. 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






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






40. The process of finding the derivative of a function






41. The reciprocal of the cosine function






42. f(-x)= -f(x)






43. 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.






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






45. The reciprocal of the sine function






46. 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






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






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






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






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