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






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






3. The process of evaluating an indefinite integral






4. The reciprocal of the sine function






5. The inverse of the tangent function






6. Local maximums of minimums of a function






7. The process by which an antiderivative is calculated






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






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






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






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






12. 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)






13. 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






14. A line through two points on the curve






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






16. The absolute value or magnitude of velocity






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






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






19. The reciprocal of the tangent function






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






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






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






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






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






25. 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






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






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






28. The horizontal axis of the Cartesian coordinate system






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






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






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






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






33. 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






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






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






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






37. 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






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






39. A line around which a geometric figure is symmetrical






40. A=x=b






41. 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






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






43. The inverse of the cosine function






44. The vertical axis of the Cartesian coordinate system






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






46. The inverse of the sine function






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






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






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






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