Differentiate $e^{\frac{y^7}{x^9}}$ with respect to $x,$ assuming that $y$ is implicitly a function of $x.($Use symbotic notalion and fractions where needed. Use $y^{\text{'}}$ in place of $\frac{dy}{dx}.)$

$\frac{d}{dx}(e^{\frac{y^3}{x^5}})=$

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