$$9 { x }^{ 3 } -6 { x }^{ 2 } +3x+9/3x-2=$$
$9x^{3}-6x^{2}+6x-2$
$$9x^{3}-6x^{2}+3x+3x-2$$
$$9x^{3}-6x^{2}+6x-2$$
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$27x^{2}-12x+6$
$$\frac{\mathrm{d}}{\mathrm{d}x}(9x^{3}-6x^{2}+3x+3x-2)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(9x^{3}-6x^{2}+6x-2)$$
$$3\times 9x^{3-1}+2\left(-6\right)x^{2-1}+6x^{1-1}$$
$$27x^{3-1}+2\left(-6\right)x^{2-1}+6x^{1-1}$$
$$27x^{2}+2\left(-6\right)x^{2-1}+6x^{1-1}$$
$$27x^{2}-12x^{2-1}+6x^{1-1}$$
$$27x^{2}-12x^{1}+6x^{1-1}$$
$$27x^{2}-12x^{1}+6x^{0}$$
$$27x^{2}-12x+6x^{0}$$
$$27x^{2}-12x+6\times 1$$
$$27x^{2}-12x+6$$