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






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






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






4. The inverse of the cosine function






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






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






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






8. The derivative of the first derivative






9. The inverse of the tangent function






10. The function that is integrated in an integral






11. A line around which a geometric figure is symmetrical






12. 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






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






14. The process by which an antiderivative is calculated






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






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






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






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






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






20. Slope between two points on a function






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






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






23. The process of finding the derivative of a function






24. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression






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






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






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






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






29. The process of evaluating an indefinite integral






30. 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.






31. The local and global maximums and minumums of a function






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






33. A line through two points on the curve






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






35. The number which - when raised to the power of a given logarithm - produces a given number






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






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






38. The horizontal axis of the Cartesian coordinate system






39. 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






40. The reciprocal of the sine function






41. The inverse of the sine function






42. A function such that the following is true






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






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






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






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






47. 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






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






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






50. 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