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






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






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






4. The process by which an antiderivative is calculated






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






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






7. The vertical axis of the Cartesian coordinate system






8. 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






9. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.






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






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






12. Slope between two points on a function






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






14. 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






15. The absolute value or magnitude of velocity






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






17. The function that is integrated in an integral






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






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






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






21. The reciprocal of the tangent function






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






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






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






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






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






27. Local maximums of minimums of a function






28. In an application - maximizing or minimizing some aspect of the system being modeled






29. A line around which a geometric figure is symmetrical






30. A function that possesses a finite integral; the function must be continuous on the interval of integration






31. A line around which some body or curve rotates






32. f(-x)= -f(x)






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






34. 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






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






36. The inverse of the cosine function






37. 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






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






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






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






41. 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






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






43. 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.






44. A line through two points on the curve






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






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






47. 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






48. The inverse of the tangent function






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






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