Mathematics - Differentiation Question with Solution | TestHub

Suppose for a differentiable function $h,h(0)=0,h(1)=1$ and $h^{\prime }(0)=h^{\prime }(1)=2$. If $\mathrm{g}(x)=h\left({\mathrm{e}}^x\right){\mathrm{e}}^{h(x)}$, then $g^{\prime }(0)$ is equal to: