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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. 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






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






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






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






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






6. 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.






7. 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.






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






9. A function such that the following is true






10. The reciprocal of the sine function






11. The process of finding the derivative of a function






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






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






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






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






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






17. The inverse of the sine function






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






19. Slope between two points on a function






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






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






22. f(-x)= -f(x)






23. 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






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






25. A line around which a geometric figure is symmetrical






26. 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






27. 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






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






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






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






31. A line around which some body or curve rotates






32. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points






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






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






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






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






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






38. The reciprocal of the tangent function






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






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






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






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






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






44. A=x=b






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






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






47. The absolute value or magnitude of velocity






48. Notation used for the first derivative of a function






49. The function that is integrated in an integral






50. Local maximums of minimums of a function