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Differentiate w.r.t. c
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\frac{cb^{3}}{b^{2}c^{2}}
Divide \frac{c}{b^{2}} by \frac{c^{2}}{b^{3}} by multiplying \frac{c}{b^{2}} by the reciprocal of \frac{c^{2}}{b^{3}}.
\frac{b}{c}
Cancel out cb^{2} in both numerator and denominator.