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