$$(6-9 { x }^{ 2 } +5x-2)+( { x }^{ 2 } -8x+1)+(2 { x }^{ 2 } +4x-6)$$
$-6x^{2}+x-1$
$$4-9x^{2}+5x+x^{2}-8x+1+2x^{2}+4x-6$$
$$4-8x^{2}+5x-8x+1+2x^{2}+4x-6$$
$$4-8x^{2}-3x+1+2x^{2}+4x-6$$
$$5-8x^{2}-3x+2x^{2}+4x-6$$
$$5-6x^{2}-3x+4x-6$$
$$5-6x^{2}+x-6$$
$$-1-6x^{2}+x$$
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$1-12x$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4-9x^{2}+5x+x^{2}-8x+1+2x^{2}+4x-6)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4-8x^{2}+5x-8x+1+2x^{2}+4x-6)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4-8x^{2}-3x+1+2x^{2}+4x-6)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(5-8x^{2}-3x+2x^{2}+4x-6)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(5-6x^{2}-3x+4x-6)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(5-6x^{2}+x-6)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-1-6x^{2}+x)$$
$$2\left(-6\right)x^{2-1}+x^{1-1}$$
$$-12x^{2-1}+x^{1-1}$$
$$-12x^{1}+x^{1-1}$$
$$-12x^{1}+x^{0}$$
$$-12x+x^{0}$$
$$-12x+1$$
