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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 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






2. A function such that the following is true






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






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






5. 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






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






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






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






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






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






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






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






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






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






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






16. The reciprocal of the tangent function






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






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






19. 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.






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






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






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






23. 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






24. The horizontal axis of the Cartesian coordinate system






25. The reciprocal of the sine function






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






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






28. 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






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






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






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






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






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






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






35. The inverse of the cosine function






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






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






38. The inverse of the sine function






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






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






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






42. Notation used for the first derivative of a function






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






44. Slope between two points on a function






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






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






47. 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.






48. 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






49. A line around which some body or curve rotates






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