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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 absolute value or magnitude of velocity






2. A line around which some body or curve rotates






3. 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






4. A point where a function changes concavity; also - where the second derivative changes signs






5. f(-x)= -f(x)






6. The horizontal axis of the Cartesian coordinate system






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






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






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






10. 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






11. A=x=b






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






13. 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






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






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






16. 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






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






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






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






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






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






22. 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






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






24. A line through two points on the curve






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






26. To the graph of a function y=f(x) at a point x=a where exists the line through (a -f(a)) with slope f'(a)






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






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






29. The reciprocal of the cosine function






30. The derivative of the first derivative






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






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






33. A line around which a geometric figure is symmetrical






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






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






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






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






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






39. 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






40. The process of evaluating an indefinite integral






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






42. In integrating composite function - either using pattern recognition or change of variables to perform the integration






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






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. 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






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






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






48. 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






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






50. The process by which an antiderivative is calculated