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. The vertical axis of the Cartesian coordinate system






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






4. 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






5. The function that is integrated in an integral






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






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






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






9. 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.






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






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






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






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






14. 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






15. Notation used for the first derivative of a function






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






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






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






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






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






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






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






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






24. The reciprocal of the tangent function






25. The process of finding the derivative of a function






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






27. A line around which a geometric figure is symmetrical






28. The inverse of the cosine function






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






30. f(-x)= -f(x)






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






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






33. 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






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






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






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






37. The derivative of the first derivative






38. 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)






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






40. A line around which some body or curve rotates






41. Local maximums of minimums of a function






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






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






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






45. 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






46. The absolute value or magnitude of velocity






47. 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






48. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis






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






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