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






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






3. The vertical axis of the Cartesian coordinate system






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






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






6. 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






7. The process by which an antiderivative is calculated






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






9. The reciprocal of the tangent function






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






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






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






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






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






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






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






17. f(-x)= -f(x)






18. The process of evaluating an indefinite integral






19. 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






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






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






22. Notation used for the first derivative of a function






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






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






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






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






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






28. 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






29. 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






30. 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






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






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






33. A line through two points on the curve






34. The inverse of the sine function






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






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






37. The derivative of the first derivative






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






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






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






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






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






43. Slope between two points on a function






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






45. The function that is integrated in an integral






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






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






48. A function such that the following is true






49. The inverse of the tangent function






50. 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