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






2. The reciprocal of the tangent function






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






4. 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






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






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






7. The inverse of the cosine function






8. 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






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






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






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






12. 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)






13. The reciprocal of the sine function






14. A function that is continuous at every point on the interval






15. A=x=b






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






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






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






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 process of finding the derivative of a function






21. A line through two points on the curve






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






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






24. 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.






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






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 segment from the center of the circle to a point on the circle






28. 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






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






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






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






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






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






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






35. The inverse of the sine function






36. f(-x)= -f(x)






37. The process of evaluating an indefinite integral






38. Notation used for the first derivative of a function






39. A function such that the following is true






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






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






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






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






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






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






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






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






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






50. The process by which an antiderivative is calculated