differentiation

Question: If $y = {(1 + x)^x},$then $\frac{{dy}}{{dx}} = $



1) ${(1 + x)^x}\left[ {\frac{x}{{1 + x}} + \log ex} \right]$
2) $\frac{x}{{1 + x}} + \log (1 + x)$
3) ${(1 + x)^x}\left[ {\frac{x}{{1 + x}} + \log (1 + x)} \right]$
4) None of these
Solution: Explanation: Explanation
Implicit-function

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