$$\frac{(3x^{2}y)(-4x^{4}y^{3})}{-6x^{5}y^{4}}=$$
$2x$
$$\frac{3x^{6}y\left(-4\right)y^{3}}{-6x^{5}y^{4}}$$
$$\frac{3x^{6}y^{4}\left(-4\right)}{-6x^{5}y^{4}}$$
$$\frac{-2x}{-1}$$
$$2x$$
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$2$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{12x^{4}y^{4}}{-6y^{4}}\right)x^{2-5})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{4}x^{-3})$$
$$-3\times 2x^{4}x^{-3-1}$$
$$\left(-6x^{4}\right)x^{-4}$$
