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Differentiate w.r.t. a
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\frac{3a^{2}b^{2}\times 10c^{2}d}{5cd\times 9ab}
Divide \frac{3a^{2}b^{2}}{5cd} by \frac{9ab}{10c^{2}d} by multiplying \frac{3a^{2}b^{2}}{5cd} by the reciprocal of \frac{9ab}{10c^{2}d}.
\frac{2abc}{3}
Cancel out 3\times 5abcd in both numerator and denominator.