Question

I need to find dy/dx if y = (e^(x^2))(x+1)^x my solution is y' = 2x(e^(x^2))(x+1)^x+(e^(x^2))(x+1)^x(ln(x+1)+x/(x+1)) is...

I need to find dy/dx if y = (e^(x^2))(x+1)^x

my solution is y' = 2x(e^(x^2))(x+1)^x+(e^(x^2))(x+1)^x(ln(x+1)+x/(x+1))

is that correct. I am using logarithmic differentiation

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