Final answer to the problem
$\left(\frac{d}{dx}\right)^2\left(\sin\left(4x\right)\right)\cos\left(y\right)$
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1
Apply the property of the quotient of two powers with the same exponent, inversely: $\frac{a^m}{b^m}=\left(\frac{a}{b}\right)^m$, where $m$ equals $2$
$\left(\frac{d}{dx}\right)^2\left(\sin\left(4x\right)\right)\cos\left(y\right)$
Final answer to the problem
$\left(\frac{d}{dx}\right)^2\left(\sin\left(4x\right)\right)\cos\left(y\right)$