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AP Calculus Vocab

Subjects : math, ap, calculus
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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. The ratio x/r with r being the distance of (x -y) from the origin

2. 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

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

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

5. 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.

6. 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)

7. The derivative of the first derivative

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

9. The inverse of the cosine function

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

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

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

13. 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

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

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

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

17. The inverse of the tangent function

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

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

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

22. f(-x)= -f(x)

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

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

25. The process of finding the derivative of a function

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

27. 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

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

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

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

31. The horizontal axis of the Cartesian coordinate system

32. 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.

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

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

35. A line around which some body or curve rotates

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

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

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

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

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

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

42. Slope between two points on a function

43. 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

44. The reciprocal of the sine function

45. 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

46. A line through two points on the curve

47. A line around which a geometric figure is symmetrical

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

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

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