Question Number 110247 by Rio Michael last updated on 28/Aug/20
$$\mathrm{Let}\:{f}\left({x}\right)\:=\:\int_{\mathrm{0}} ^{\:{x}} {e}^{−{t}} {dt}\: \\ $$$$\mathrm{then}\:{f}\:''\left({x}\right)\:=\:?? \\ $$
Answered by bemath last updated on 28/Aug/20
$${f}\:'\left({x}\right)={e}^{−{x}} \:\Rightarrow{f}\:''\left({x}\right)=−{e}^{−{x}} \\ $$