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






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






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






5. A=x=b






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






7. The inverse of the tangent function






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






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






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






11. The inverse of the cosine function






12. 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)






13. The reciprocal of the tangent function






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






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






16. A line around which some body or curve rotates






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






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






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






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






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






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






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






24. Local maximums of minimums of a function






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






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






27. The set of all values that can be assumed by the independent variable of a function






28. 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






29. 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






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






31. The process of finding the derivative of a function






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






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






34. 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






35. Notation used for the first derivative of a function






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






37. The function that is integrated in an integral






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






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






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






41. f(-x)= -f(x)






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






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






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. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function






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






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






48. A line around which a geometric figure is symmetrical






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






50. 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.