We can do this using the quotient rule, which states that the derivative of $\frac{u}{v}$ is $\frac{vu' - uv'}{v^2}$, where $u$ and $v$ are functions of $x$, and $u'$ and $v'$ are their respective derivatives. Here, $u = 16x$ and $v = x^2 + 16$.
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