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Q)

Differentiate the following w.r.t. $x : \sqrt {e^\sqrt x}, x > 0 $

$\begin{array}{1 1} \large \frac{1}{4} \frac{e^\sqrt x}{\sqrt (x\; e^\sqrt x)} \\ \large \frac{1}{2} \frac{1}{ (x\; e^\sqrt x)} \\ \large \frac{1}{4} \frac{e^\sqrt x}{(x\; e^\sqrt x)} \\ \large \frac{1}{2} \frac{1}{\sqrt (x\; e^\sqrt x)}\end{array} $

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