Saturday, February 13, 2010

Anti-Derivative stuff

1.
  • positive (- 2,0) U (0, 2), negative (- infinity, -2) U (2, + infinity)
  • when f '(x) is positive f (x) is increasing, and when f ' (x) is negative f (x) is decreasing.

2.

  • local max at about x=+1.10, - 1.10, local min at x=0
  • locals are when there is a change in slope, tha point where it changes is the local

3.

  • up at (- infinity, -1.10) U ( 0, 1.10), down (-1.10, 0) U ( 1.10, + infinity)
  • it is up when it curves to look like a upside down "U", and its down when it curves to look like a "U"

4. f ' (x)= x^4 b/c the slope is moves/changes 3 times