\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Compute the derivative of \(f(x) = \sqrt{1 + x^4}\) on \(\mathbb{R}\) via the chain rule. (Recall \((\sqrt{y})' = 1/(2 \sqrt{y})\) on \(]0, +\infty[\).)
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