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