Mathematics - Definite Integration Question with Solution | TestHub

Let $\mathrm{G}(\mathrm{x})=\int {\mathrm{e}}^{\mathrm{x}}\left({\int }_0^{\mathrm{x}}f(\mathrm{t})\mathrm{dt}+f(\mathrm{x})\right)\mathrm{dx}$ where $f(\mathrm{x})$ is continuous on R. If $f(0)=1,\mathrm{G}(0)=0$ then ${\mathrm{G}}^{\prime }(0)$ equals -