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






2. A line through two points on the curve






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






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






5. The inverse of the cosine function






6. The horizontal axis of the Cartesian coordinate system






7. The reciprocal of the tangent function






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






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






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






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






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






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






14. 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






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






16. The inverse of the sine function






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






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






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






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






21. 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






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






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






24. A line around which a geometric figure is symmetrical






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






26. The process of evaluating an indefinite integral






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






28. Notation used for the first derivative of a function






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






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






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






32. The process of finding the derivative of a function






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






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






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






36. A line around which some body or curve rotates






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






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






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






40. 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.






41. Local maximums of minimums of a function






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






43. The absolute value or magnitude of velocity






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






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






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






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






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






49. 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






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