y=(lnx)^x·x^(lnx),①
lny=xln(lnx)+(lnx)^2,
求导得y'/y=ln(lnx)+x/lnx·1/x+2lnx/x
=ln(lnx)+1/lnx+2lnx/x,②
①*②,得y'=(lnx)^x·x^(lnx)·[ln(lnx)+1/lnx+2lnx/x].
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