$$3 { x }^{ 2 } +2x-6+7 { x }^{ 2 } +6x+9$$
$10x^{2}+8x+3$
$$10x^{2}+2x-6+6x+9$$
$$10x^{2}+8x-6+9$$
$$10x^{2}+8x+3$$
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$20x+8$
$$\frac{\mathrm{d}}{\mathrm{d}x}(10x^{2}+2x-6+6x+9)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(10x^{2}+8x-6+9)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(10x^{2}+8x+3)$$
$$2\times 10x^{2-1}+8x^{1-1}$$
$$20x^{2-1}+8x^{1-1}$$
$$20x^{1}+8x^{1-1}$$
$$20x^{1}+8x^{0}$$
$$20x+8x^{0}$$
$$20x+8\times 1$$
$$20x+8$$
