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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. Local maximums of minimums of a function






2. f(-x)= -f(x)






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






4. The derivative of the first derivative






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






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






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






8. A=x=b






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






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






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






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






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






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






15. 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






16. 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






17. A function such that the following is true






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






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






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






21. The inverse of the sine function






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






23. The inverse of the tangent function






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






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






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






27. The function that is integrated in an integral






28. 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.






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






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






31. The reciprocal of the sine function






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






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






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






35. Slope between two points on a function






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






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






38. In periodic functions - the height of the function at the maximum to the middle line






39. A line around which some body or curve rotates






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






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






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






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






44. 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)






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. 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






47. A line through two points on the curve






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






49. The inverse of the cosine function






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