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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 line perpendicular to a tangent line at the point of tangency






2. The vertical axis of the Cartesian coordinate system






3. A function such that the following is true






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






5. 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






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






7. 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






8. The function that is integrated in an integral






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






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 right-most point of the sub-interval






11. The reciprocal of the sine function






12. 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






13. The inverse of the sine function






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






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






16. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative






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






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






19. Notation used for the first derivative of a function






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






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






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






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






24. 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






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






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






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






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






29. The process of finding the derivative of a function






30. A line around which some body or curve rotates






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






32. In periodic functions - the height of the function at the maximum to the middle line






33. The inverse of the cosine function






34. A line through two points on the curve






35. 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.






36. The reciprocal of the cosine function






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






38. 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






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






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






41. 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.






42. The absolute value or magnitude of velocity






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






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






45. The process by which an antiderivative is calculated






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






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






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






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






50. 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