$$6m^{3}\div3m$$
$2m^{4}$
$$2m^{3}m$$
$$2m^{4}$$
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$8m^{3}$
$$\frac{\mathrm{d}}{\mathrm{d}m}(2m^{3}m)$$
$$\frac{\mathrm{d}}{\mathrm{d}m}(2m^{4})$$
$$4\times 2m^{4-1}$$
$$8m^{4-1}$$
$$8m^{3}$$