Posted by T.Gracken on October 04, 2002 at 07:50:18:
In Reply to: Re: Absolute Value Differentiation posted by Adam Getchell on October 04, 2002 at 00:51:53:
if you want the derivative for y=|x|, just use the (piece-wise) definition.
1. if x > 0 then |x| = x, so for y = |x|, when x > 0, y' = 1
2. if x < 0 then |x| = -x, so for y = |x|, when x < 0, y' = -1
3. if x = 0, the limit defining a derivative does not exist.
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