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Differentiate w.r.t. a
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\frac{9a^{2}c\times 14c^{3}}{12bc^{2}\times 21ab}
Divide \frac{9a^{2}c}{12bc^{2}} by \frac{21ab}{14c^{3}} by multiplying \frac{9a^{2}c}{12bc^{2}} by the reciprocal of \frac{21ab}{14c^{3}}.
\frac{ac^{2}}{2bb}
Cancel out 2\times 3\times 3\times 7acc in both numerator and denominator.
\frac{ac^{2}}{2b^{2}}
Multiply b and b to get b^{2}.