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÷{d}{dx}(x^x)

$D:=÷{d}{dx}(x^x)=?$

$D=÷{d}{dx}(e^{x⋅\ln x})=?$

$D=e^{x⋅\ln x}⋅(1⋅\ln x+x⋅÷{1}{x})$

$D=e^{x⋅\ln x}⋅(\ln x+1)$

$D=x^x⋅(\ln x+1)$

Author: Danny (remove the ".nospam" to send)

Last modification on: Sat, 04 May 2024 .