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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. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val






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






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






4. A line around which some body or curve rotates






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






6. The function that is integrated in an integral






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






8. The process of evaluating an indefinite integral






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






10. 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






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






13. The inverse of the cosine function






14. 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






15. The solid figure generated by revolving a plane region around a line






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






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






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






19. 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






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






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






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






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






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






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






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






27. 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






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






29. A line through two points on the curve






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






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






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






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






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






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






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






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






38. The absolute value or magnitude of velocity






39. The process of finding the derivative of a function






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






41. The reciprocal of the sine function






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






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






44. 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






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






46. 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






47. The horizontal axis of the Cartesian coordinate system






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






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






50. f(-x)= -f(x)