$${ x }^{ 3 } - { y }^{ 3 } -3 { x }^{ 3 } + { y }^{ 3 } =$$
$-2x^{3}$
$$-2x^{3}-y^{3}+y^{3}$$
$$-2x^{3}$$
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$-6x^{2}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x^{3}-y^{3}+y^{3})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x^{3})$$
$$3\left(-2\right)x^{3-1}$$
$$-6x^{3-1}$$
$$-6x^{2}$$
