$$\frac{2x^{3}y}{4xy^{2}}$$
$\frac{x^{2}}{2y}$
$$\frac{2^{1}x^{3}y^{1}}{4^{1}x^{1}y^{2}}$$
$$\frac{2^{1}}{4^{1}}x^{3-1}y^{1-2}$$
$$\frac{2^{1}}{4^{1}}x^{2}y^{1-2}$$
$$\frac{2^{1}}{4^{1}}x^{2}\times \frac{1}{y}$$
$$\frac{1}{2}x^{2}\times \frac{1}{y}$$
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$\frac{x}{y}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2y}{4y^{2}}x^{3-1})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{2y}x^{2})$$
$$2\times \frac{1}{2y}x^{2-1}$$
$$\frac{1}{y}x^{1}$$
$$\frac{1}{y}x$$
