We will use 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 $t$ and $u'$ and $v'$ are their respective derivatives. Here, $u = 500,000t^2$ and $v = 36 + t^2$.
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