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Differentiate w.r.t. a
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\frac{a^{5}\times 9c^{3}}{6c^{3}a^{2}}
Divide \frac{a^{5}}{6c^{3}} by \frac{a^{2}}{9c^{3}} by multiplying \frac{a^{5}}{6c^{3}} by the reciprocal of \frac{a^{2}}{9c^{3}}.
\frac{3a^{3}}{2}
Cancel out 3a^{2}c^{3} in both numerator and denominator.