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






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






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






4. Slope between two points on a function






5. The inverse of the sine function






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






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






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






9. 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






10. 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






11. The horizontal axis of the Cartesian coordinate system






12. The reciprocal of the cosine function






13. The inverse of the tangent function






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






15. 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.






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






17. A line around which a geometric figure is symmetrical






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






19. 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






20. The vertical axis of the Cartesian coordinate system






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






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






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






24. The inverse of the cosine function






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






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






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






29. 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






30. 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.






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






32. The absolute value or magnitude of velocity






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






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






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






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






37. The reciprocal of the tangent function






38. A line through two points on the curve






39. A line around which some body or curve rotates






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






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






42. 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






43. 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)






44. f(-x)= -f(x)






45. The process by which an antiderivative is calculated






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






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






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






49. A function such that the following is true






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