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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 set of all values that can be assumed by the independent variable of a function






2. A line through two points on the curve






3. The vertical axis of the Cartesian coordinate system






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






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






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






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






10. A function such that the following is true






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






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






13. 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






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






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






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






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






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






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






20. A line around which some body or curve rotates






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






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






23. A=x=b






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






25. The reciprocal of the cosine function






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






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






28. 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






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






30. The absolute value or magnitude of velocity






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






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






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






34. The derivative of the first derivative






35. Local maximums of minimums of a function






36. The process by which an antiderivative is calculated






37. The function that is integrated in an integral






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






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






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






41. 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






42. Slope between two points on a function






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






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






45. f(-x)= -f(x)






46. 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






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






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






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






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