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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 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






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






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






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






5. The process by which an antiderivative is calculated






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






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






8. The reciprocal of the tangent function






9. 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.






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






11. The process of finding the derivative of a function






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






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






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






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






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






17. 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.






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






19. 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






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






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






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






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






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






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






26. 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






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






28. 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






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






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






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






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






33. 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






34. The process of evaluating an indefinite integral






35. The reciprocal of the sine function






36. 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)






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






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






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






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






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






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






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






44. The reciprocal of the cosine function






45. The inverse of the tangent function






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






47. f(-x)= -f(x)






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






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






50. The vertical axis of the Cartesian coordinate system