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Answer
$$ \begin{aligned}
f(x) & = \, x \, \\[2 em]
f\prime(x) &= \left(-64\,{\it dx}\,x^6+160\,{\it dx}\,x^3-100\,{\it dx}\right)\, \sec \left(x^4-5\,x\right)\,\tan ^2\left(x^4-5\,x\right)-48\, {\it dx}\,x^2\,\sec \left(x^4-5\,x\right)\,\tan \left(x^4-5\,x \right)+\left(-64\,{\it dx}\,x^6+160\,{\it dx}\,x^3-100\,{\it dx} \right)\,\left(\sec \left(x^4-5\,x\right)\right)^3
\end{aligned} $$
Explanation
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