$$-5 { x }^{ 4 } -2 { x }^{ 3 } -5 { x }^{ 3 } +7 { x }^{ 4 } -4 { x }^{ 4 } +7 { x }^{ 3 }$$
$-2x^{4}$
$$-5x^{4}-7x^{3}+7x^{4}-4x^{4}+7x^{3}$$
$$2x^{4}-7x^{3}-4x^{4}+7x^{3}$$
$$-2x^{4}-7x^{3}+7x^{3}$$
$$-2x^{4}$$
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$-8x^{3}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-5x^{4}-7x^{3}+7x^{4}-4x^{4}+7x^{3})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{4}-7x^{3}-4x^{4}+7x^{3})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x^{4}-7x^{3}+7x^{3})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x^{4})$$
$$4\left(-2\right)x^{4-1}$$
$$-8x^{4-1}$$
$$-8x^{3}$$
