$$2x \times 3x$$
$6x^{2}$
$$2x^{2}\times 3$$
$$6x^{2}$$
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$12x$
$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}\times 3)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{2})$$
$$2\times 6x^{2-1}$$
$$12x^{2-1}$$
$$12x^{1}$$
$$12x$$