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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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. In an application - maximizing or minimizing some aspect of the system being modeled






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






3. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.






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






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






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






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






8. 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






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






10. 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






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






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






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






14. The reciprocal of the tangent function






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






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






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






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






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






20. 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






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






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






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






24. Local maximums of minimums of a function






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






26. 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






27. A line through two points on the curve






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






29. A line around which some body or curve rotates






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






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






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






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






34. The derivative of the first derivative






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






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






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






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






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






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






41. A=x=b






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






43. The function that is integrated in an integral






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






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






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






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






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






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






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