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Differentiate w.r.t. m
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\frac{3m^{3}\times 12an^{6}}{6n^{2}\times 6n^{6}}
Divide \frac{3m^{3}}{6n^{2}} by \frac{6n^{6}}{12an^{6}} by multiplying \frac{3m^{3}}{6n^{2}} by the reciprocal of \frac{6n^{6}}{12an^{6}}.
\frac{am^{3}}{n^{2}}
Cancel out 2\times 3\times 6n^{2}n^{4} in both numerator and denominator.