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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 limit of f as x approaches c from the right






2. The derivative of the first derivative






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






4. 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.






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






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






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






8. 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






9. The reciprocal of the sine function






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






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






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






13. 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






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






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






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






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






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






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 x-coordinate of the point where a curve intersects the x-axis






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






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






23. The vertical axis of the Cartesian coordinate system






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






25. The horizontal axis of the Cartesian coordinate system






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






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






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






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






30. 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






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






32. A line around which a geometric figure is symmetrical






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






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






35. A line through two points on the curve






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






37. The process by which an antiderivative is calculated






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






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






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






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






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






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






44. 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






45. 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






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






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






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






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






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