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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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. Notation used for the first derivative of a function






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






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






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






5. The process of evaluating an indefinite integral






6. The inverse of the sine function






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






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






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






10. 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






11. A line through two points on the curve






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






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






14. A line around which some body or curve rotates






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






16. 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






17. 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.






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






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






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






21. The reciprocal of the tangent function






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






23. Slope between two points on a function






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






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






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






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






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






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






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






31. The function that is integrated in an integral






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






33. A function such that the following is true






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






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






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






38. Local maximums of minimums of a function






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






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






41. 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.






42. The absolute value or magnitude of velocity






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






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






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






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






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






48. f(-x)= -f(x)






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 segment from the center of the circle to a point on the circle






Can you answer 50 questions in 15 minutes?



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