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