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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. 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.






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






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






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






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






6. 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






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






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






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






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






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






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






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






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






15. 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






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






17. A function such that the following is true






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






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






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






21. Notation used for the first derivative of a function






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






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






24. 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






25. The reciprocal of the tangent function






26. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position 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 midpoint of the sub-interval






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






29. The inverse of the sine function






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






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






32. The function that is integrated in an integral






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






34. Slope between two points on a function






35. f(-x)= -f(x)






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






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






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






39. The process of finding the derivative of a function






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






41. A line around which a geometric figure is symmetrical






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






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






44. 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






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






46. A line through two points on the curve






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






48. The reciprocal of the cosine function






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






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