Answer
$$ \begin{aligned}
f(x) & = \, x \, \\[2 em]
f\prime(x) &= {{35\,x^4+8\,x^3+10\,x+5}\over{3\,\left(7\,x^5+2\,x^4+5\,x^2+5\,x+2 \right)^{{{2}\over{3}}}}}
\end{aligned} $$
Explanation
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