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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 x-coordinate of the point where a curve intersects the x-axis






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






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






4. 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






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






6. 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






7. The function that is integrated in an integral






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






9. 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.






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






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






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






13. Slope between two points on a function






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






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






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






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






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






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






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






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






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






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






24. A=x=b






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






26. A line around which a geometric figure is symmetrical






27. The vertical axis of the Cartesian coordinate system






28. Local maximums of minimums of a function






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






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






31. 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






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






33. The inverse of the sine function






34. The horizontal axis of the Cartesian coordinate system






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






36. A function such that the following is true






37. 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






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






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






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






41. A line around which some body or curve rotates






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






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






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






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






46. The process of finding the derivative of a function






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






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






49. 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.






50. f(-x)= -f(x)