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Differentiate w.r.t. a
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\frac{9a^{2}b\times 4c^{3}}{2c\times 6ab^{4}}
Divide \frac{9a^{2}b}{2c} by \frac{6ab^{4}}{4c^{3}} by multiplying \frac{9a^{2}b}{2c} by the reciprocal of \frac{6ab^{4}}{4c^{3}}.
\frac{3ac^{2}}{b^{3}}
Cancel out 2\times 2\times 3abc in both numerator and denominator.