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






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






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






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






6. 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






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






8. The reciprocal of the tangent function






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






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






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






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






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






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






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






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






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






18. The reciprocal of the cosine function






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






20. The inverse of the tangent function






21. The derivative of the first derivative






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






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






24. 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






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






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






27. The inverse of the cosine function






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






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 reciprocal of the sine function






31. The function that is integrated in an integral






32. The vertical axis of the Cartesian coordinate system






33. 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.






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






35. Local maximums of minimums of a function






36. A line around which some body or curve rotates






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






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






39. A line around which a geometric figure is symmetrical






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






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






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






43. The inverse of the sine function






44. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis






45. 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






46. 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






47. 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.






48. The process by which an antiderivative is calculated






49. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point






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