$$\frac{-36x^{4}y^{3}z^{2}}{6x^{5}y^{2}z^{3}}$$
$\frac{6y}{zx^{2}}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{36z^{2}y^{3}}{6y^{2}z^{3}}\right)x^{4-5})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{6y}{z}\right)\times \frac{1}{x})$$
$$-\left(-\frac{6y}{z}\right)x^{-1-1}$$
$$\frac{6y}{z}x^{-2}$$
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$-\frac{6y}{xz}$
$$\frac{-6y}{xz}$$
