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View Full Version : Trying to derive this but has multiple absolute values


souldoutt
Nov18-08, 07:18 PM
1. The problem statement, all variables and given/known data
Find the Local and absolute extrema of f(x) on the interval [-1,2] and give a sketch of the graph if:

f(x) = [ 1 / (1 + |x|) ] + [ 1 / (1 + |x - 1|) ]




I am confused about the absolute value parts. I know they're the versions inside the absolute value signs when >0 and the negative of the inside when < 0 but I'm not sure how to start this derivative.

Help would be appreciated. Thanks.

Hurkyl
Nov18-08, 07:22 PM
I know they're the versions inside the absolute value signs when >0 and the negative of the inside when < 0
If you can't study both cases together, then study each case separately.