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Find the derivative of ex1/2

Find the derivative of the function:

    \[ f(x) = e^{\sqrt{x}}. \]


We apply the formula for the derivative of e^x and the chain rule,

    \[ f'(x) = \frac{1}{2\sqrt{x}} e^{\sqrt{x}} = \frac{e^{\sqrt{x}}}{2 \sqrt{x}}. \]

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