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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 reciprocal of the sine function






2. 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






3. A line around which some body or curve rotates






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






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






6. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x






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






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






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






10. The process of evaluating an indefinite integral






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






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






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






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






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






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






17. The vertical axis of the Cartesian coordinate system






18. The horizontal axis of the Cartesian coordinate system






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






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






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






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






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






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






25. A function such that the following is true






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






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






28. 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






29. 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






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






31. In an application - maximizing or minimizing some aspect of the system being modeled






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






33. 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






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






35. Local maximums of minimums of a function






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






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






38. The absolute value or magnitude of velocity






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






40. The inverse of the cosine function






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






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






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






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






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






46. f(-x)= -f(x)






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






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






49. 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






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