$$- { x }^{ 4 } +6 { x }^{ 2 } -18+13 { x }^{ 2 } -5x+6$$
$-x^{4}+19x^{2}-5x-12$
$$-x^{4}+19x^{2}-18-5x+6$$
$$-x^{4}+19x^{2}-12-5x$$
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$-4x^{3}+38x-5$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-x^{4}+19x^{2}-18-5x+6)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-x^{4}+19x^{2}-12-5x)$$
$$4\left(-1\right)x^{4-1}+2\times 19x^{2-1}-5x^{1-1}$$
$$-4x^{4-1}+2\times 19x^{2-1}-5x^{1-1}$$
$$-4x^{3}+2\times 19x^{2-1}-5x^{1-1}$$
$$-4x^{3}+38x^{2-1}-5x^{1-1}$$
$$-4x^{3}+38x^{1}-5x^{1-1}$$
$$-4x^{3}+38x^{1}-5x^{0}$$
$$-4x^{3}+38x-5x^{0}$$
$$-4x^{3}+38x-5$$
