$$(x^{4}+4x^{2}+11x-17)+(x+2)$$
$x^{4}+4x^{2}+12x-15$
$$x^{4}+4x^{2}+12x-17+2$$
$$x^{4}+4x^{2}+12x-15$$
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$4\left(x^{3}+2x+3\right)$
$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}+4x^{2}+12x-17+2)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}+4x^{2}+12x-15)$$
$$4x^{4-1}+2\times 4x^{2-1}+12x^{1-1}$$
$$4x^{3}+2\times 4x^{2-1}+12x^{1-1}$$
$$4x^{3}+8x^{2-1}+12x^{1-1}$$
$$4x^{3}+8x^{1}+12x^{1-1}$$
$$4x^{3}+8x^{1}+12x^{0}$$
$$4x^{3}+8x+12x^{0}$$
$$4x^{3}+8x+12\times 1$$
$$4x^{3}+8x+12$$
