Finding the derivative of F (x) = (x + 1) lnx-x + 1

f(x) = (x+1)lnx - x + 1
f'(x) = lnx(1+0) + (x+1)(1/x) - 1 + 0
= lnx + 1 + 1/x - 1
= lnx + 1/x

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