$$\frac{9x^{5}}{3x^{6}}$$
$\frac{3}{x}$
$$\left(9x^{5}\right)^{1}\times \frac{1}{3x^{6}}$$
$$9^{1}\left(x^{5}\right)^{1}\times \frac{1}{3}\times \frac{1}{x^{6}}$$
$$9^{1}\times \frac{1}{3}\left(x^{5}\right)^{1}\times \frac{1}{x^{6}}$$
$$9^{1}\times \frac{1}{3}x^{5}x^{6\left(-1\right)}$$
$$9^{1}\times \frac{1}{3}x^{5}x^{-6}$$
$$9^{1}\times \frac{1}{3}x^{5-6}$$
$$9^{1}\times \frac{1}{3}\times \frac{1}{x}$$
$$9\times \frac{1}{3}\times \frac{1}{x}$$
$$3\times \frac{1}{x}$$
$$\frac{9^{1}x^{5}}{3^{1}x^{6}}$$
$$\frac{9^{1}x^{5-6}}{3^{1}}$$
$$\frac{9^{1}\times \frac{1}{x}}{3^{1}}$$
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$-\frac{3}{x^{2}}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{9}{3}x^{5-6})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(3\times \frac{1}{x})$$
$$-3x^{-1-1}$$
$$-3x^{-2}$$
