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Differentiate w.r.t. r_0
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\frac{\frac{5h^{2}}{r_{0}}}{\frac{h^{2}}{r_{1}}}
Express 5\times \frac{h^{2}}{r_{0}} as a single fraction.
\frac{5h^{2}r_{1}}{r_{0}h^{2}}
Divide \frac{5h^{2}}{r_{0}} by \frac{h^{2}}{r_{1}} by multiplying \frac{5h^{2}}{r_{0}} by the reciprocal of \frac{h^{2}}{r_{1}}.
\frac{5r_{1}}{r_{0}}
Cancel out h^{2} in both numerator and denominator.