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






2. f(-x)= -f(x)






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






4. 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






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






6. 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






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






8. A function such that the following is true






9. Slope between two points on a function






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






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






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






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






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






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






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






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






18. 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






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






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






21. 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






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






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






24. The reciprocal of the tangent function






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






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






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






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






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






30. 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






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. Local maximums of minimums of a function






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






34. 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






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






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






37. The vertical axis of the Cartesian coordinate system






38. 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






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






40. 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.






41. The function that is integrated in an integral






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






43. A line around which a geometric figure is symmetrical






44. The reciprocal of the sine function






45. The reciprocal of the cosine function






46. The process of finding the derivative of a function






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






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






49. Notation used for the first derivative of a function






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