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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 inverse of the sine function






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






3. A function that is a fixed numerical value for all elements of the domain of the function






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






5. 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






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






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






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






9. A=x=b






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






11. The reciprocal of the tangent function






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






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






14. 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.






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






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






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






18. The process of finding the derivative of a function






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






20. The process by which an antiderivative is calculated






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






22. 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






23. 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)






24. 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






25. The reciprocal of the cosine function






26. The inverse of the tangent function






27. 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






28. 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






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






30. The vertical axis of the Cartesian coordinate system






31. Slope between two points on a function






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






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






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






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






37. 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






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






39. 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






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






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






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






43. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val






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






45. Local maximums of minimums of a function






46. The absolute value or magnitude of velocity






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






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






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






50. The process of evaluating an indefinite integral







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