$$-2x^{4}+3xy+x^{4}-3xy$$
$-x^{4}$
$$-x^{4}+3xy-3xy$$
$$-x^{4}$$
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$-4x^{3}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-x^{4}+3xy-3xy)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-x^{4})$$
$$4\left(-1\right)x^{4-1}$$
$$-4x^{4-1}$$
$$-4x^{3}$$
