Find the derivative of `e^(x^(2))` from the first principle.

Explanation

To find the derivative of \( e^{x^2} \) from the first principle, we will use the definition of the derivative:

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

### Step 1: Define the function
Let \( f(x) = e^{x^2} \).
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