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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 line through two points on the curve






2. 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






3. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point






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






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






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






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






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






9. 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






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






11. The process by which an antiderivative is calculated






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






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






14. 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






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






16. Notation used for the first derivative of a function






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






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






19. 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






20. The inverse of the cosine function






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






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






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






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






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






26. The vertical axis of the Cartesian coordinate system






27. The inverse of the sine function






28. The function that is integrated in an integral






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






30. The reciprocal of the sine function






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






32. 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






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






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






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






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






37. 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.






38. The reciprocal of the tangent function






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






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






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






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






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






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






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






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






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






48. A function such that the following is true






49. The derivative of the first derivative






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