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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 around which some body or curve rotates






2. 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






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






4. The process of finding the derivative of a function






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






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






7. 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






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






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






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






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






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






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






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






15. 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.






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






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






18. The process by which an antiderivative is calculated






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






20. 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






21. The solid figure generated by revolving a plane region around a line






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






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






24. The function that is integrated in an integral






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






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






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






28. 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)






29. The derivative of the first derivative






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






31. The inverse of the tangent function






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






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






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






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






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






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






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






39. A=x=b






40. f(-x)= -f(x)






41. Slope between two points on a function






42. 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






43. The inverse of the cosine function






44. The horizontal axis of the Cartesian coordinate system






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






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






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






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






49. The absolute value or magnitude of velocity






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







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