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Idealist
 2 years ago
Find all open intervals on which f(x)=x/(x^2+x2) is decreasing. I found that f'(x)=(x^2+2)/(x^2+x2)^2 but what do I do after that?
Idealist
 2 years ago
Find all open intervals on which f(x)=x/(x^2+x2) is decreasing. I found that f'(x)=(x^2+2)/(x^2+x2)^2 but what do I do after that?

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frx
 2 years ago
Best ResponseYou've already chosen the best response.1So when a function is decreasing it's derivitive is negative, so you simply set the inequality \[\frac{ (x ^{2}+2) }{ (x ^{2}+x2)^{2} } < 0\]

Idealist
 2 years ago
Best ResponseYou've already chosen the best response.0So is the answer (negative infinity, 2)U(2, 1)U(1, infinity)?
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