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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 process by which an antiderivative is calculated






2. A line around which a geometric figure is symmetrical






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






4. A line through two points on the curve






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






6. The inverse of the cosine function






7. 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






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






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






10. The absolute value or magnitude of velocity






11. 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






12. 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






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






14. The vertical axis of the Cartesian coordinate system






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






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






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






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






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






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






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






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






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






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






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






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






27. The process of evaluating an indefinite integral






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






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






30. A=x=b






31. 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






32. The inverse of the sine function






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






34. A line around which some body or curve rotates






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






36. The function that is integrated in an integral






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 right-most point of the sub-interval






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






39. The reciprocal of the tangent function






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






41. The reciprocal of the sine function






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






43. Notation used for the first derivative of a function






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






45. f(-x)= -f(x)






46. A function such that the following is true






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






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






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 inverse of the tangent function