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Differentiate w.r.t. n
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\frac{nq}{mp}\times \frac{q}{p}
Divide \frac{n}{m} by \frac{p}{q} by multiplying \frac{n}{m} by the reciprocal of \frac{p}{q}.
\frac{nqq}{mpp}
Multiply \frac{nq}{mp} times \frac{q}{p} by multiplying numerator times numerator and denominator times denominator.
\frac{nq^{2}}{mpp}
Multiply q and q to get q^{2}.
\frac{nq^{2}}{mp^{2}}
Multiply p and p to get p^{2}.