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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • 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. 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.






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






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






4. Local maximums of minimums of a function






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






6. f(-x)= -f(x)






7. 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






8. A function that possesses a finite integral; the function must be continuous on the interval of integration






9. The x-coordinate of the point where a curve intersects the x-axis






10. The absolute value or magnitude of velocity






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






12. Any ordered pair (x -y) where f'(x)=0 or is undefined






13. For all x in [a -b] - f'(x)>0






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






15. 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






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






17. The inverse of the sine function






18. The inverse of the cosine function






19. The inverse of the tangent function






20. 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






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






22. 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






23. A=x=b






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






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






26. 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)






27. The process of evaluating an indefinite integral






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






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






30. 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






31. 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






32. 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






33. 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






34. The function that is integrated in an integral






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






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






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






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






39. A line through two points on the curve






40. 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






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






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






43. 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.






44. The derivative of the first derivative






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






46. 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






47. 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






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






49. The process by which an antiderivative is calculated






50. The reciprocal of the cosine function