$$(-b+2+3 { b }^{ 4 } )+(-1-4 { b }^{ 4 } +5b$$
$1+4b-b^{4}$
$$-b+1+3b^{4}-4b^{4}+5b$$
$$-b+1-b^{4}+5b$$
$$4b+1-b^{4}$$
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$4-4b^{3}$
$$\frac{\mathrm{d}}{\mathrm{d}b}(-b+1+3b^{4}-4b^{4}+5b)$$
$$\frac{\mathrm{d}}{\mathrm{d}b}(-b+1-b^{4}+5b)$$
$$\frac{\mathrm{d}}{\mathrm{d}b}(4b+1-b^{4})$$
$$4b^{1-1}+4\left(-1\right)b^{4-1}$$
$$4b^{0}+4\left(-1\right)b^{4-1}$$
$$4b^{0}-4b^{4-1}$$
$$4b^{0}-4b^{3}$$
$$4\times 1-4b^{3}$$
$$4-4b^{3}$$
