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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 inverse of the sine function






2. The inverse of the tangent function






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. Slope between two points on a function






5. Notation used for the first derivative of a function






6. A function that is a fixed numerical value for all elements of the domain of the function






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






8. A function such that the following is true






9. The process of finding the derivative of a function






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






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






12. 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






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






14. 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






15. The function that is integrated in an integral






16. The horizontal axis of the Cartesian coordinate system






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






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






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






20. A differential equation y'=f(x -y) in which f can be expressed as a product of a function of x and a function of y






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






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






23. A=x=b






24. 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.






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






26. 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






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






28. Local maximums of minimums of a function






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






30. The vertical axis of the Cartesian coordinate system






31. A line through two points on the curve






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






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






34. The reciprocal of the tangent function






35. A line around which some body or curve rotates






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






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






38. The reciprocal of the sine function






39. The absolute value or magnitude of velocity






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






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






42. 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)






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






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






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






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






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






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






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






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







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