$$x^{4}+x^{2}y+4^{4}$$
$2x\left(2x^{2}+y\right)$
$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}+x^{2}y+256)$$
$$4x^{4-1}+2yx^{2-1}$$
$$4x^{3}+2yx^{2-1}$$
$$4x^{3}+2yx^{1}$$
$$4x^{3}+2yx$$
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$x^{4}+yx^{2}+256$
