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. Notation used for the first derivative of a function






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






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






4. The horizontal axis of the Cartesian coordinate system






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






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






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






8. 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






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






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






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






12. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point






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






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






15. The absolute value or magnitude of velocity






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






17. 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.






18. The reciprocal of the sine function






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






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






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






22. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation or an x-intercept of the graph






23. 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






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






25. 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






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






27. 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






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






29. 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






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






31. 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






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






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






34. The inverse of the sine function






35. 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






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






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






38. f(-x)= -f(x)






39. 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






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






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






42. A=x=b






43. A line around which some body or curve rotates






44. The process by which an antiderivative is calculated






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






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






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






48. The derivative of the first derivative






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






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