$$\frac{7x^{3}y^{3}}{14xy^{5}}$$
$\frac{\left(\frac{x}{y}\right)^{2}}{2}$
$$\frac{7^{1}x^{3}y^{3}}{14^{1}x^{1}y^{5}}$$
$$\frac{7^{1}}{14^{1}}x^{3-1}y^{3-5}$$
$$\frac{7^{1}}{14^{1}}x^{2}y^{3-5}$$
$$\frac{7^{1}}{14^{1}}x^{2}y^{-2}$$
$$\frac{1}{2}x^{2}\times \frac{1}{y^{2}}$$
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$\frac{x}{y^{2}}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{7y^{3}}{14y^{5}}x^{3-1})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{2y^{2}}x^{2})$$
$$2\times \frac{1}{2y^{2}}x^{2-1}$$
$$\frac{1}{y^{2}}x^{1}$$
$$\frac{1}{y^{2}}x$$
