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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 x-coordinate of the point where a curve intersects the x-axis






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






3. 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.






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






5. The inverse of the sine function






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






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






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






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






10. 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.






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






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






13. The reciprocal of the sine function






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






15. Notation used for the first derivative of a function






16. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation or an x-intercept of the graph






17. 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






18. The number which - when raised to the power of a given logarithm - produces a given number






19. A function such that the following is true






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






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






22. An arbitrary constant term in the expression of the indefinite integral of a function






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






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






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






26. The inverse of the tangent function






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






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






29. 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






30. 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






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






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






33. 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






34. 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






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






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






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






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






39. 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






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






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






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






43. The process of evaluating an indefinite integral






44. The function that is integrated in an integral






45. A line through two points on the curve






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






47. The derivative of the first derivative






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






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






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