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






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






3. The inverse of the cosine function






4. The reciprocal of the cosine function






5. 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






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






7. The horizontal axis of the Cartesian coordinate system






8. 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






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






10. 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






11. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.






12. 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






13. The inverse of the sine function






14. The function that is integrated in an integral






15. Slope between two points on a function






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






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






18. 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.






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






20. 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






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






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






23. The process of finding the derivative of a function






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






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






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






27. 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






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






29. The amount of change divided by the time it takes






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






31. A line around which some body or curve rotates






32. 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






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






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






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






36. A function such that the following is true






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






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






39. 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)






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






41. The reciprocal of the sine function






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






43. 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






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






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






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






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






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






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






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