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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.
  • 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. 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






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






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






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






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






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






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






8. A function such that the following is true






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






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






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






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






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






14. The reciprocal of the sine function






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






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






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






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






19. 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






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






21. 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






22. The derivative of the first derivative






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






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






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






26. The reciprocal of the cosine function






27. The reciprocal of the tangent function






28. The process of finding the derivative of a function






29. Local maximums of minimums of a function






30. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side






31. The process by which an antiderivative is calculated






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






33. The inverse of the sine function






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






35. 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






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






37. 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






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






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






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






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






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






44. 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






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






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






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






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






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






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