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






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. 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






4. The process of finding the derivative of a function






5. The inverse of the cosine function






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






7. The process of evaluating an indefinite integral






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






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






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






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






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






13. 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






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






15. 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






16. A method of obtaining the derivative of a composite function






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






18. A function such that the following is true






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






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






21. The function that is integrated in an integral






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






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






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






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






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






27. A line through two points on the curve






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






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






30. 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






31. A line around which some body or curve rotates






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. 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






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






35. 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






36. The derivative of the first derivative






37. Notation used for the first derivative of a function






38. 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.






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






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






41. 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)






42. A=x=b






43. Local maximums of minimums of a function






44. 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






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






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






47. The reciprocal of the tangent function






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






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






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