Differentiate the following function from first principles: `e^(sqrt(2x))`

Explanation

To differentiate the function \( f(x) = e^{\sqrt{2x}} \) from first principles, we will follow the definition of the derivative. The derivative of a function \( f(x) \) from first principles is given by:

\[ f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} \]

### Step 1: Substitute the function into the derivative formula

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