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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 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






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






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






4. 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






5. 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






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






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






8. The process of evaluating an indefinite integral






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






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






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






12. 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






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






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






15. To the graph of a function y=f(x) at a point x=a where exists the line through (a -f(a)) with slope f'(a)






16. Notation used for the first derivative of a function






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






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






19. A=x=b






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






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 function that is integrated in an integral






23. A line around which a geometric figure is symmetrical






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






25. f(-x)= -f(x)






26. Slope between two points on a function






27. The inverse of the sine function






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






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






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






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






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






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






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






35. The reciprocal of the sine function






36. A line through two points on the curve






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






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






39. 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.






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






41. A line around which some body or curve rotates






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






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






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






45. The reciprocal of the tangent function






46. For all x in [a -b] - f'(x)<0






47. Local maximums of minimums of a function






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






49. 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.






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







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