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. Local maximums of minimums of a function






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






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






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






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






6. A line around which a geometric figure is symmetrical






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






8. The process of finding the derivative of a function






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






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






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






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






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






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






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






16. 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






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






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






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






20. The function that is integrated in an integral






21. 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.






22. 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






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






24. The process of evaluating an indefinite integral






25. A line around which some body or curve rotates






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






27. Notation used for the first derivative of a function






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






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






30. 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






31. An arbitrary constant term in the expression of the indefinite integral of a function






32. The reciprocal of the tangent function






33. The reciprocal of the sine function






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






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






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






37. 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)






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






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






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






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






42. A line through two points on the curve






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






44. 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






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






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






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






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






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






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