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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. 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






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






3. The limit of f as x approaches c from the right






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






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






6. A line around which a geometric figure is symmetrical






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






8. The vertical axis of the Cartesian coordinate system






9. A line around which some body or curve rotates






10. The process by which an antiderivative is calculated






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






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






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






14. Slope between two points on a function






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






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






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






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






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






20. 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






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






22. The inverse of the cosine function






23. 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






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






25. The horizontal axis of the Cartesian coordinate system






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






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






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






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






30. 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)






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






32. The inverse of the sine function






33. The process of evaluating an indefinite integral






34. A=x=b






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






36. Notation used for the first derivative of a function






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






38. The reciprocal of the sine function






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






40. 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.






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






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






43. f(-x)= -f(x)






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






45. 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






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






47. 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






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. 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






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