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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 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






2. 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






3. The reciprocal of the sine function






4. The reciprocal of the tangent function






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






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






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






8. 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






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






10. The absolute value or magnitude of velocity






11. The function that is integrated in an integral






12. A line through two points on the curve






13. A function such that the following is true






14. 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






15. 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






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






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






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






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






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






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






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






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






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






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






26. Notation used for the first derivative of a function






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






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






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






30. The vertical axis of the Cartesian coordinate system






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






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






34. 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






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






36. 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






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






38. The process of finding the derivative of a function






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






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






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






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






43. 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)






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






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






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






47. 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






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






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






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