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






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






3. 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






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






5. A line around which a geometric figure is symmetrical






6. The reciprocal of the cosine function






7. 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.






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






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






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






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






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






13. The vertical axis of the Cartesian coordinate system






14. The function that is integrated in an integral






15. 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






16. A line through two points on the curve






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






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






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






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






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






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






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






24. The absolute value or magnitude of velocity






25. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side






26. The process of finding the derivative of a function






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






28. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point






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






30. A=x=b






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






32. 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






33. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative






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






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






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






37. The inverse of the sine function






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






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






40. The rate of change of the velocity with respect to time. the second derivative of a position function






41. 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






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






43. 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.






44. 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






45. Slope between two points on a function






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






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






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






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






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