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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. Notation used for the first derivative of a function






2. 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






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






4. The inverse of the tangent function






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






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






7. 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






8. 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






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






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






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






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






13. 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






14. The horizontal axis of the Cartesian coordinate system






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






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






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






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






19. 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






20. The reciprocal of the cosine function






21. 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






22. The reciprocal of the sine function






23. The derivative of the first derivative






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






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






26. f(-x)= -f(x)






27. The absolute value or magnitude of velocity






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






29. A line around which a geometric figure is symmetrical






30. 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






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






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






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






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






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






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






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






38. 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






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






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






41. The vertical axis of the Cartesian coordinate system






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






43. 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






44. A function such that the following is true






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






46. The inverse of the sine function






47. The function y=lnx is the inverse of the exponential function y=e^x






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






49. A=x=b






50. The process of finding the derivative of a function