$${ x }^{ 2 } -2 \times -x+2$$
$x^{2}+2x+2$
$$x^{2}-2\left(-1\right)x+2$$
$$x^{2}+2x+2$$
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$2\left(x+1\right)$
$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-2\left(-1\right)x+2)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+2x+2)$$
$$2x^{2-1}+2x^{1-1}$$
$$2x^{1}+2x^{1-1}$$
$$2x^{1}+2x^{0}$$
$$2x+2x^{0}$$
$$2x+2\times 1$$
$$2x+2$$