Answer
$ \frac{4}{(x^2+4)^{3/2}}$
Work Step by Step
$\frac{(x^2+4)^{1/2}-x^2(x^2+4)^{-1/2}}{x^2+4}=\frac{(x^2+4)-x^2}{(x^2+4)^{3/2}}=\frac{4}{(x^2+4)^{3/2}}$
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