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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 function that is integrated in an integral






2. 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






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






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






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






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






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






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






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






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






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






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






13. 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






14. 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






15. The process of finding the derivative of a function






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






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






18. The reciprocal of the cosine function






19. The reciprocal of the tangent function






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






21. A line around which some body or curve rotates






22. 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






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






24. A line around which a geometric figure is symmetrical






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






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






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






28. 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






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






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






31. Slope between two points on a function






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






33. The inverse of the sine function






34. 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






35. 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






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






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






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






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 vertical axis of the Cartesian coordinate system






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






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






43. A line through two points on the curve






44. The inverse of the cosine function






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






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






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






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






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






50. A function such that the following is true