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Differentiate w.r.t. a
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\frac{2b\times 9a^{5}b^{4}}{3a\times 10b}
Divide \frac{2b}{3a} by \frac{10b}{9a^{5}b^{4}} by multiplying \frac{2b}{3a} by the reciprocal of \frac{10b}{9a^{5}b^{4}}.
\frac{3a^{4}b^{4}}{5}
Cancel out 2\times 3ab in both numerator and denominator.