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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. The reciprocal of the cosine function






2. The vertical axis of the Cartesian coordinate system






3. A line around which a geometric figure is symmetrical






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






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






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






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






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






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






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






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






12. A line around which some body or curve rotates






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






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






15. A function such that the following is true






16. The absolute value or magnitude of velocity






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






18. A line through two points on the curve






19. 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






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






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






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






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






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






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






26. 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






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






28. 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.






29. 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






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






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






32. The process of evaluating an indefinite integral






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






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






35. 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)






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






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






38. The inverse of the sine function






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






40. 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






41. The horizontal axis of the Cartesian coordinate system






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






43. Local maximums of minimums of a function






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






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






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






47. 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






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






49. 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.






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