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






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






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






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






5. The inverse of the sine function






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






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






8. The process of finding the derivative of a function






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






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






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






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






13. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point






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






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






16. The absolute value or magnitude of velocity






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






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






19. The function that is integrated in an integral






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






21. 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.






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






23. 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






24. 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






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






26. 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






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






28. The derivative of the first derivative






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






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






31. 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






32. The process by which an antiderivative is calculated






33. 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






34. 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.






35. The inverse of the cosine function






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






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






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






39. A line through two points on the curve






40. A line around which a geometric figure is symmetrical






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






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






43. The reciprocal of the tangent function






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






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






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






47. The inverse of the tangent function






48. f(-x)= -f(x)






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






50. The vertical axis of the Cartesian coordinate system