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






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






3. Notation used for the first derivative of a function






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






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






6. 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






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






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






9. The process of finding the derivative of a function






10. 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






11. Local maximums of minimums of a function






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






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






14. The derivative of the first derivative






15. 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






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






17. A line through two points on the curve






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






19. 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.






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






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






22. 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






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






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






25. A=x=b






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






27. A line around which some body or curve rotates






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






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






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






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






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






33. The function that is integrated in an integral






34. 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






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






36. The vertical axis of the Cartesian coordinate system






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






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






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






40. The reciprocal of the sine function






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






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






43. 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






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






45. 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.






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






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






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






49. 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






50. The absolute value or magnitude of velocity







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