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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 reciprocal of the tangent function






2. The derivative of the first derivative






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






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






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






6. 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






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






8. 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






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






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






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






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






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






14. A line through two points on the curve






15. 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






16. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.






17. The process of finding the derivative of a function






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






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






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






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






22. The vertical axis of the Cartesian coordinate system






23. 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






24. The set of points in a plane that are equidistant from a given point






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






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






27. The process by which an antiderivative is calculated






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






29. The inverse of the cosine function






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






31. 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






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






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






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






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






36. The function that is integrated in an integral






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






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






39. A=x=b






40. The process of evaluating an indefinite integral






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






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






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






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






45. 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






46. A function such that the following is true






47. 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






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






49. 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)






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