Find the open interval on which the function is increasing or decreasing, and locate all relative extrema for the f(x)=x/(x+1) I posted the same question here http://answers.yahoo.com/question/index;_ylt=ArtVZyjuM0wXa4kJ.9lI9eEezKIX?qid=20061125130753AABrmR3 but I don't know how to respond to the people who answered. So I posted it again, because non of them were helpful and the last answer had a few errors (i.e., the derivative is 1/((x+1)^2) not -1/((x+1)^2) Usually, I'd set the derivative equal to zero, find the critical numbers and then find the relative min and max and see where the function is increasing/decreasing. But in this question, the derivative can never equal zero, and even though the derivative is undefined at -1, -1 is not defined for the function (so -1 can't serve as a critical number either). My question is, what do I do? What does this mean? That there's no relative extrema? And how would I figure out where it's inc/decreasing (cuz i cant sub -1in deriv.)
2006-11-25
09:24:11
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