Test your basic knowledge |

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 points in a plane that are equidistant from a given point






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






3. A function such that the following is true






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






5. 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






6. The reciprocal of the cosine function






7. A line around which some body or curve rotates






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






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






10. The inverse of the sine function






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






12. 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






13. In integrating composite function - either using pattern recognition or change of variables to perform the integration






14. 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






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






16. 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






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






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






19. The reciprocal of the tangent function






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






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






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






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






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






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






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






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






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






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






30. 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






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






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






33. 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)






34. The process by which an antiderivative is calculated






35. 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






36. 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.






37. 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






38. The process of evaluating an indefinite integral






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






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






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






43. The vertical axis of the Cartesian coordinate system






44. The function y=lnx is the inverse of the exponential function y=e^x






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






46. 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






47. The horizontal axis of the Cartesian coordinate system






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






49. Notation used for the first derivative of a function






50. A line through two points on the curve