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






2. 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






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






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






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






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






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






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






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






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






11. The horizontal axis of the Cartesian coordinate system






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






13. 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






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






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






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






17. 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






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






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






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






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






22. The inverse of the tangent function






23. 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






24. The reciprocal of the tangent function






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






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






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






28. f(-x)= -f(x)






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






30. 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






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






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






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






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






35. In integrating composite function - either using pattern recognition or change of variables to perform the integration






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






37. The inverse of the sine function






38. The vertical axis of the Cartesian coordinate system






39. 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






40. The derivative of the first derivative






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






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






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






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






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






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






47. Local maximums of minimums of a function






48. A=x=b






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






50. 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