Prove that, \[ \frac{d}{d x}\left[\log \frac{x^{2}+x+1}{x^{2}-x+1}+...

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Prove that,
\[
\frac{d}{d x}\left[\log \frac{x^{2}+x+1}{x^{2}-x+1}+\frac{2}{\sqrt{3}} \tan ^{-1} \frac{\sqrt{3} x}{1-x^{2}}\right]=\frac{4}{x^{4}+x^{2}+1}
\]
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