$$3x^{4}-2x^{3}-5+x-5x^{2}+3x^{3}+2x^{2}-x^{4}-x^{4}-x+1$$
$x^{4}+x^{3}-3x^{2}-4$
$$3x^{4}+x^{3}-5+x-5x^{2}+2x^{2}-x^{4}-x^{4}-x+1$$
$$3x^{4}+x^{3}-5+x-3x^{2}-x^{4}-x^{4}-x+1$$
$$2x^{4}+x^{3}-5+x-3x^{2}-x^{4}-x+1$$
$$x^{4}+x^{3}-5+x-3x^{2}-x+1$$
$$x^{4}+x^{3}-5-3x^{2}+1$$
$$x^{4}+x^{3}-4-3x^{2}$$
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$x\left(4x^{2}+3x-6\right)$
$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{4}+x^{3}-5+x-5x^{2}+2x^{2}-x^{4}-x^{4}-x+1)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{4}+x^{3}-5+x-3x^{2}-x^{4}-x^{4}-x+1)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{4}+x^{3}-5+x-3x^{2}-x^{4}-x+1)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}+x^{3}-5+x-3x^{2}-x+1)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}+x^{3}-5-3x^{2}+1)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}+x^{3}-4-3x^{2})$$
$$4x^{4-1}+3x^{3-1}+2\left(-3\right)x^{2-1}$$
$$4x^{3}+3x^{3-1}+2\left(-3\right)x^{2-1}$$
$$4x^{3}+3x^{2}+2\left(-3\right)x^{2-1}$$
$$4x^{3}+3x^{2}-6x^{2-1}$$
$$4x^{3}+3x^{2}-6x^{1}$$
$$4x^{3}+3x^{2}-6x$$
