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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 reciprocal of the tangent function






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






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






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






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






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






7. A line around which some body or curve rotates






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






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






10. The process by which an antiderivative is calculated






11. 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






12. The reciprocal of the cosine function






13. The process of finding the derivative of a function






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






15. A function that is defined by applying different formulas to different parts of its domain






16. A function such that the following is true






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






18. 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






19. The horizontal axis of the Cartesian coordinate system






20. 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






21. The derivative of the first derivative






22. 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






23. A=x=b






24. 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.






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






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






27. 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)






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






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






30. 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






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






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






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






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






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






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






37. The reciprocal of the sine function






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






39. 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






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






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






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






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






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






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






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






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






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






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






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