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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. A function such that the following is true






2. 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






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






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






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






6. The process of evaluating an indefinite integral






7. The inverse of the sine function






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






9. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x






10. A line around which some body or curve rotates






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






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






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






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






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






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






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






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






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






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






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






22. 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






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






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






25. 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






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






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






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 right-most point of the sub-interval






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






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






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






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






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






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






36. The derivative of the first derivative






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






38. f(-x)= -f(x)






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






40. Notation used for the first derivative of a function






41. A function that is continuous at every point on the interval






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






43. The process by which an antiderivative is calculated






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






45. The horizontal axis of the Cartesian coordinate system






46. A=x=b






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. Local maximums of minimums of a function






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






50. The reciprocal of the sine function







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