What is the derivative of $y=\sqrt{e^{\sqrt x}}$?

$\frac{e^{\sqrt x/2}}{4\sqrt x}$ $\frac{e^{\sqrt x/2}}{2\sqrt x}$ $\frac{e^{\sqrt x}}{4\sqrt x}$ $\frac{e^{\sqrt x/2}}{4x}$

$\frac{e^{\sqrt x/2}}{4\sqrt x}$

We can write $y=(e^{\sqrt x})^{1/2}$. Then differentiating both sides w.r.to x we get $\frac{dy}{dx}$.