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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. 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)






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






3. Slope between two points on a function






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






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






6. A line through two points on the curve






7. 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






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






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






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






11. The vertical axis of the Cartesian coordinate system






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






13. A function such that the following is true






14. The process by which an antiderivative is calculated






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






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






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






18. A line around which some body or curve rotates






19. f(-x)= -f(x)






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






21. The process of evaluating an indefinite integral






22. 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






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






24. Notation used for the first derivative of a function






25. The absolute value or magnitude of velocity






26. A=x=b






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. 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






29. The derivative of the first derivative






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






31. The reciprocal of the cosine function






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






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






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






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






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






37. 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.






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






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






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






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






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






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






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






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






47. 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






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






49. 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






50. 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