$$\frac{-21x^{6}y^{9}}{3x^{2}y^{5}}$$
$-7\left(xy\right)^{4}$
$$\frac{\left(-21\right)^{1}x^{6}y^{9}}{3^{1}x^{2}y^{5}}$$
$$\frac{\left(-21\right)^{1}}{3^{1}}x^{6-2}y^{9-5}$$
$$\frac{\left(-21\right)^{1}}{3^{1}}x^{4}y^{9-5}$$
$$\frac{\left(-21\right)^{1}}{3^{1}}x^{4}y^{4}$$
$$-7x^{4}y^{4}$$
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$-28x^{3}y^{4}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{21y^{9}}{3y^{5}}\right)x^{6-2})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-7y^{4}\right)x^{4})$$
$$4\left(-7y^{4}\right)x^{4-1}$$
$$\left(-28y^{4}\right)x^{3}$$