$$x^{3}+x^{2}-x+1-2x+3$$
$x^{3}+x^{2}-3x+4$
$$x^{3}+x^{2}-3x+1+3$$
$$x^{3}+x^{2}-3x+4$$
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$3x^{2}+2x-3$
$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}+x^{2}-3x+1+3)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}+x^{2}-3x+4)$$
$$3x^{3-1}+2x^{2-1}-3x^{1-1}$$
$$3x^{2}+2x^{2-1}-3x^{1-1}$$
$$3x^{2}+2x^{1}-3x^{1-1}$$
$$3x^{2}+2x^{1}-3x^{0}$$
$$3x^{2}+2x-3x^{0}$$
$$3x^{2}+2x-3$$
