We know the derivative of e^{x}, which is e^{x}.
(e^{x})' = e^{x}
We can find the derivative of √e^{x} using chain rule.
If y = √e^{x}, find ᵈʸ⁄dₓ.
Let t = e^{x}.
Then, we have
y = √t
By chain rule,
Substitute y = √t and t = e^{x}.
Substitute t = e^{x}.
Therefore,
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