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






2. 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






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






4. A line around which a geometric figure is symmetrical






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






6. The inverse of the sine function






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






8. The process by which an antiderivative is calculated






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






10. The reciprocal of the cosine function






11. A function such that the following is true






12. 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






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






14. The inverse of the tangent function






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






16. The reciprocal of the sine function






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






18. Notation used for the first derivative of a function






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






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






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






22. 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






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






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






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






26. 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.






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






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






29. 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






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






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






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






33. The function that is integrated in an integral






34. A line around which some body or curve rotates






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






36. A=x=b






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






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






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






40. A line through two points on the curve






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






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






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






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






45. The process of evaluating an indefinite integral






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






47. 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






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






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






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