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






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






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






4. 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)






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






6. The vertical axis of the Cartesian coordinate system






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






8. 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






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






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






11. The reciprocal of the cosine function






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






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






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






15. 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






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






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






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






19. Local maximums of minimums of a function






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






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






22. A line around which some body or curve rotates






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






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






25. A=x=b






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






27. The process of finding the derivative of a function






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






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






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






31. The absolute value or magnitude of velocity






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






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






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






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






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






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






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






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






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






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






42. The inverse of the tangent function






43. The reciprocal of the sine function






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






45. Notation used for the first derivative of a function






46. 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.






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






48. The inverse of the sine function






49. 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






50. 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