Evaluate
\left(x\ln(x+1)+\ln(x+1)+x+y\right)\left(x+1\right)^{x+y-1}
Differentiate w.r.t. x
\left(x+1\right)^{x+y-2}\left(\left(x\ln(x+1)\right)^{2}+2xy\ln(x+1)+2x\ln(x+1)^{2}+2x^{2}\ln(x+1)+2x\ln(x+1)+2y\ln(x+1)+\ln(x+1)^{2}+2xy+x^{2}+y^{2}+x-y+2\right)
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