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






2. 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






3. Slope between two points on a function






4. Notation used for the first derivative of a function






5. 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






6. A=x=b






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






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






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






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






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






12. A line around which some body or curve rotates






13. The inverse of the sine function






14. f(-x)= -f(x)






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






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






17. A function such that the following is true






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






19. 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






20. The process by which an antiderivative is calculated






21. The vertical axis of the Cartesian coordinate system






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






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






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






25. The inverse of the cosine function






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






27. The function that is integrated in an integral






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






29. 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.






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






31. 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.






32. The process of finding the derivative of a function






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






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






35. 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






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






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






38. A line around which a geometric figure is symmetrical






39. The reciprocal of the cosine function






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






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






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






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






44. Local maximums of minimums of a function






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






46. The reciprocal of the tangent function






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






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 left-most point of the sub-interval






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






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