$$\frac { 15 x ^ { 6 } y ^ { - 4 } z ^ { 3 } } { 20 x ^ { 3 } y ^ { 4 } z ^ { 6 } }$$
$\frac{3\times \left(\frac{x}{z}\right)^{3}}{4y^{8}}$
$$\frac{3y^{-4}x^{3}}{4z^{3}y^{4}}$$
$$\frac{3x^{3}}{4z^{3}y^{8}}$$
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$\frac{9x^{2}}{4z^{3}y^{8}}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{15z^{3}}{y^{4}\times 20y^{4}z^{6}}x^{6-3})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{4z^{3}y^{8}}x^{3})$$
$$3\times \frac{3}{4z^{3}y^{8}}x^{3-1}$$
$$\frac{9}{4z^{3}y^{8}}x^{2}$$
