$$5 x ^ { 3 } - 3 x ^ { 2 } - 8 2 x ^ { 3 } - 5 x ^ { 2 } - 11 x + 2$$
$2-11x-8x^{2}-11x^{3}$
$$5x^{3}-3x^{2}-16x^{3}-5x^{2}-11x+2$$
$$-11x^{3}-3x^{2}-5x^{2}-11x+2$$
$$-11x^{3}-8x^{2}-11x+2$$
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$-33x^{2}-16x-11$
$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3}-3x^{2}-16x^{3}-5x^{2}-11x+2)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-11x^{3}-3x^{2}-5x^{2}-11x+2)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-11x^{3}-8x^{2}-11x+2)$$
$$3\left(-11\right)x^{3-1}+2\left(-8\right)x^{2-1}-11x^{1-1}$$
$$-33x^{3-1}+2\left(-8\right)x^{2-1}-11x^{1-1}$$
$$-33x^{2}+2\left(-8\right)x^{2-1}-11x^{1-1}$$
$$-33x^{2}-16x^{2-1}-11x^{1-1}$$
$$-33x^{2}-16x^{1}-11x^{1-1}$$
$$-33x^{2}-16x^{1}-11x^{0}$$
$$-33x^{2}-16x-11x^{0}$$
$$-33x^{2}-16x-11$$
