If y = (xx)x, then which one of the following is correct ?

1
\(\frac{\text{dy}}{\text{dx}}\) + xy(1 + 2 ln x) = 0
2
\(\frac{\text{dy}}{\text{dx}}\) − xy(1 + 2 ln x) = 0
3
\(​\frac{\text{dy}}{\text{dx}}\) − 2xy(1 + ln x) = 0
4
\(​\frac{\text{dy}}{\text{dx}}\) + 2xy(1 + ln x) = 0

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