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






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






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






4. The inverse of the sine function






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






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






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






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






9. The absolute value or magnitude of velocity






10. f(-x)= -f(x)






11. 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.






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






13. 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






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






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






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






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






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






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






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






21. A function such that the following is true






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






23. The reciprocal of the sine function






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






25. The reciprocal of the tangent function






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






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






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






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






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






31. A line around which some body or curve rotates






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






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






34. The process by which an antiderivative is calculated






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






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






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






38. 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






39. A line through two points on the curve






40. The inverse of the cosine function






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






42. 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






43. A=x=b






44. The process of finding the derivative of a function






45. 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






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






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






48. If a function has a well-defined derivative for each element of the domain






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






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