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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 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






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






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






4. A function such that the following is true






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






6. A line around which some body or curve rotates






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






8. 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






9. The reciprocal of the sine function






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






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






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






13. 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






14. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree






15. A=x=b






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






17. 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






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






19. 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






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






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






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






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






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






25. The horizontal axis of the Cartesian coordinate system






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






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






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






29. The process of finding the derivative of a function






30. Slope between two points on a function






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






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






33. The inverse of the cosine function






34. A line around which a geometric figure is symmetrical






35. Local maximums of minimums of a function






36. 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






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






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






39. The process by which an antiderivative is calculated






40. 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






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






42. 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






43. Notation used for the first derivative of a function






44. 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






45. The process of evaluating an indefinite integral






46. The derivative of the first derivative






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






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






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






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