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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. 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.






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






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






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






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






6. A function such that the following is true






7. The function that is integrated in an integral






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






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






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






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






12. 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






13. A line around which a geometric figure is symmetrical






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






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






16. Local maximums of minimums of a function






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






18. 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






19. A=x=b






20. 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






21. 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






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






23. Notation used for the first derivative of a function






24. The process of evaluating an indefinite integral






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






26. The set of all values that can be assumed by the independent variable of a function






27. The inverse of the sine function






28. A line around which some body or curve rotates






29. 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






30. The derivative of the first derivative






31. The vertical axis of the Cartesian coordinate system






32. The horizontal axis of the Cartesian coordinate system






33. 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






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






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






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






37. The reciprocal of the cosine function






38. 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






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






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






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






42. The absolute value or magnitude of velocity






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






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






45. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression






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






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






48. The inverse of the tangent function






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






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