Evaluate
\left(\frac{2}{n}\right)^{1-n^{2}}\times \left(\frac{2n-1}{2^{\left(n+1\right)^{2}}}\right)^{\frac{1}{1-n}}
Differentiate w.r.t. n
\frac{\left(\frac{2}{n}\right)^{1-n^{2}}\left(2n^{2}\ln(\frac{2n-1}{2^{\left(n+1\right)^{2}}})-n\ln(\frac{2n-1}{2^{\left(n+1\right)^{2}}})+4n^{5}\ln(n)-10n^{4}\ln(n)+8n^{3}\ln(n)-2n^{2}\ln(n)-4\ln(2)n^{5}+2n^{5}+14\ln(2)n^{4}-5n^{4}-10\ln(2)n^{3}+2n^{3}-2\ln(2)n^{2}+2n^{2}+2\ln(2)n-2n+1\right)\times \left(\frac{2n-1}{2^{\left(n+1\right)^{2}}}\right)^{\frac{1}{1-n}}}{n\left(2n-1\right)\left(1-n\right)^{2}}
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