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






2. The inverse of the cosine function






3. The process of finding the derivative of a function






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






5. A line around which some body or curve rotates






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






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






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






9. The derivative of the first derivative






10. 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






11. 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






12. 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






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






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






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






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






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






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






19. 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.






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






21. The process of evaluating an indefinite integral






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






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






24. 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






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






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






27. The reciprocal of the tangent function






28. Notation used for the first derivative of a function






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






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






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






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






33. 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






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






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






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






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






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






39. 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






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






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






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






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






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






45. The absolute value or magnitude of velocity






46. Local maximums of minimums of a function






47. A=x=b






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






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






50. 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)