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






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






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






4. 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






5. 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






6. Local maximums of minimums of a function






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. The local and global maximums and minumums of a function






9. 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






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






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






12. 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.






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






14. A segment from the center of the circle to a point on the circle






15. A function such that the following is true






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






17. A line around which some body or curve rotates






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






19. The absolute value or magnitude of velocity






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






21. 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






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






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






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






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






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






27. The process by which an antiderivative is calculated






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






29. A=x=b






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






31. The reciprocal of the cosine function






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






33. The inverse of the cosine function






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






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






36. The reciprocal of the tangent function






37. 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






38. The process of finding the derivative of a function






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






40. 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






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






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






43. 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)






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






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






46. The horizontal axis of the Cartesian coordinate system






47. 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






48. 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






49. 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






50. Notation used for the first derivative of a function