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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 line through two points on the curve






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






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






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






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






6. The differentiation of an implicit function with respect to the independent variable






7. The inverse of the tangent function






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






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






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






11. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.






12. The reciprocal of the cosine function






13. The vertical axis of the Cartesian coordinate system






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 left-most point of the sub-interval






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






16. Local maximums of minimums of a function






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






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






19. 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






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






21. In periodic functions - the height of the function at the maximum to the middle line






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






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






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






25. The function that is integrated in an integral






26. The reciprocal of the sine function






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






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






29. 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






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






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






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






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






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






35. 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






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






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






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






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






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






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






42. A line around which some body or curve rotates






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






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






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 right-most point of the sub-interval






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






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






48. 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






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






50. The reciprocal of the tangent function