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Differentiate w.r.t. b
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\frac{5b^{2}\times 4c^{3}}{6cb^{4}c}
Divide \frac{5b^{2}}{6c} by \frac{b^{4}c}{4c^{3}} by multiplying \frac{5b^{2}}{6c} by the reciprocal of \frac{b^{4}c}{4c^{3}}.
\frac{2\times 5c}{3b^{2}}
Cancel out 2ccb^{2} in both numerator and denominator.
\frac{10c}{3b^{2}}
Multiply 2 and 5 to get 10.