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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. The amount of change divided by the time it takes






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






3. 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






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






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






6. The process by which an antiderivative is calculated






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






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






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






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






11. Local maximums of minimums of a function






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






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






14. 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






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






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






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






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






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






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






21. 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






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






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






24. The function y=lnx is the inverse of the exponential function y=e^x






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






26. Slope between two points on a function






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






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






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






30. 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.






31. 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






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






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






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






35. The inverse of the cosine function






36. The horizontal axis of the Cartesian coordinate system






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






38. The inverse of the tangent function






39. The function that is integrated in an integral






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






41. 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






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






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






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






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






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






47. 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






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






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






50. The vertical axis of the Cartesian coordinate system







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