Answer
$2^{x^{2}-x}\ln 2\left( 2x-1\right) $
Work Step by Step
$\dfrac {d}{dx}\left( 2^{x^{2}-x}\right) =2^{x^{2}-x}\times \ln 2\times \dfrac {d}{dx}\left( x^{2}-x\right) =2^{x^{2}-x}\ln 2\left( 2x-1\right) $
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