$$2 x ^ { 3 } - 4 x ^ { 2 } + 3 x + 5 4 x ^ { 3 } + x ^ { 2 } + x + 6$$
$22x^{3}-3x^{2}+4x+6$
$$2x^{3}-4x^{2}+3x+20x^{3}+x^{2}+x+6$$
$$22x^{3}-4x^{2}+3x+x^{2}+x+6$$
$$22x^{3}-3x^{2}+3x+x+6$$
$$22x^{3}-3x^{2}+4x+6$$
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$66x^{2}-6x+4$
$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{3}-4x^{2}+3x+20x^{3}+x^{2}+x+6)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(22x^{3}-4x^{2}+3x+x^{2}+x+6)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(22x^{3}-3x^{2}+3x+x+6)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(22x^{3}-3x^{2}+4x+6)$$
$$3\times 22x^{3-1}+2\left(-3\right)x^{2-1}+4x^{1-1}$$
$$66x^{3-1}+2\left(-3\right)x^{2-1}+4x^{1-1}$$
$$66x^{2}+2\left(-3\right)x^{2-1}+4x^{1-1}$$
$$66x^{2}-6x^{2-1}+4x^{1-1}$$
$$66x^{2}-6x^{1}+4x^{1-1}$$
$$66x^{2}-6x^{1}+4x^{0}$$
$$66x^{2}-6x+4x^{0}$$
$$66x^{2}-6x+4\times 1$$
$$66x^{2}-6x+4$$