If we know that $f(x) = \frac{g'(x)}{g(x)}$ and $f(x) = \frac{2x}{2+x^2}$, can we simply say that $g(x) = k(2+x^2)$ for some constant $k$?
Ratio of the derivative of a function to the function
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derivatives
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0Do you mean $f(x)=\frac {2x}{2+x^2}$? As you have written it, $f(x)$ is a constant – 2017-01-24
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0Aren't you mixing the letters $\;a,\,x\;$ ? – 2017-01-24
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0Yes. Thanks for reminding – 2017-01-24