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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 position function occuring as a limit as a time interval approaches zero; the derivative of the position function






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






3. 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






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






5. The process by which an antiderivative is calculated






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






7. 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






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






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






10. 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






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






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






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






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






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






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






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






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






19. The reciprocal of the sine function






20. The vertical axis of the Cartesian coordinate system






21. 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






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






23. The function that is integrated in an integral






24. The inverse of the tangent function






25. The inverse of the cosine function






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






27. 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.






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






29. 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






30. 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






31. The reciprocal of the tangent function






32. A function such that the following is true






33. 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






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






35. The horizontal axis of the Cartesian coordinate system






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






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






38. The reciprocal of the cosine function






39. The absolute value or magnitude of velocity






40. 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)






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






42. The derivative of the first derivative






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






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






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






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






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






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






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






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