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# If $y= \sqrt{e^{\sqrt x}}$ , then $\large\frac{dy}{dx}$ is

$\begin{array}{1 1} \frac{e^{1/2 \sqrt x}}{4 \sqrt x} \\ \frac{e^{-1/2 \sqrt x}}{4 \sqrt x} \\ \frac{e^{2 \sqrt x}}{ \sqrt x} \\ \frac{e^{2 \sqrt x}}{4 \sqrt x}\end{array}$