Differentiate the functions w.r.t. \( x \) : \[ \frac{\left(x^{2}+3 x+1\right)}{\left(x^{2}-x+1\...

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Differentiate the
functions w.r.t. \( x \) :
\[
\frac{\left(x^{2}+3 x+1\right)}{\left(x^{2}-x+1\right)}
\]
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