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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. Notation used for the first derivative of a function






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






3. 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






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






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






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






7. 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.






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






9. A line around which a geometric figure is symmetrical






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






11. The inverse of the tangent function






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






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






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. The amount of change divided by the time it takes






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






17. The reciprocal of the tangent function






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






19. The process of evaluating an indefinite integral






20. Having an increasing derivative as the independent variable increases - having a positive second derivative






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






22. The reciprocal of the cosine function






23. 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






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






25. Local maximums of minimums of a function






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






27. The reciprocal of the sine function






28. 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.






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






30. The function that is integrated in an integral






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






32. A function such that the following is true






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






34. The inverse of the sine function






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






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






37. 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






38. The process by which an antiderivative is calculated






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






40. Slope between two points on a function






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






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






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






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






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






46. The process of finding the derivative of a function






47. The horizontal axis of the Cartesian coordinate system






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






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






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