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. 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






2. The absolute value or magnitude of velocity






3. Notation used for the first derivative of a function






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






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






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






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






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






9. 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






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






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






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






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






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






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






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






17. A function that is a fixed numerical value for all elements of the domain of the function






18. 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.






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






20. 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






21. The process by which an antiderivative is calculated






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






23. A function such that the following is true






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






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






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






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






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






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






30. The reciprocal of the tangent function






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






32. In integrating composite function - either using pattern recognition or change of variables to perform the integration






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






34. 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






35. Local maximums of minimums of a function






36. The process of evaluating an indefinite integral






37. A=x=b






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






39. A line around which a geometric figure is symmetrical






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






41. 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






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






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






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






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 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






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






48. The inverse of the tangent function






49. The process of finding the derivative of a function






50. The inverse of the sine function