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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 function such that the following is true






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






3. 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






4. The differentiation of an implicit function with respect to the independent variable






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






6. 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






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






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






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






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






13. The horizontal axis of the Cartesian coordinate system






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






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






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






17. A line through two points on the curve






18. Slope between two points on a function






19. 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






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






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






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






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






24. The process of evaluating an indefinite integral






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






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






27. The process of finding the derivative of a function






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






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






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






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






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






33. The inverse of the cosine function






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






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






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






37. The reciprocal of the tangent function






38. 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






39. 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)






40. 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.






41. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse






42. The inverse of the tangent function






43. 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






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






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






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






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






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






49. f(-x)= -f(x)






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