Answer
$e^{xsecx}secx\left( 1+x\tan x\right) $
Work Step by Step
$\dfrac {d}{dx}e^{xsecx}=e^{xsccx}\times \dfrac {d}{dx}\left( xsecx\right) =e^{xsecx}secx\left( 1+x\tan x\right) $
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