Find the coordinates of the point of inflection of the curve f(x) `=e^(-x^(2))

Explanation

To find the coordinates of the point of inflection of the curve given by the function \( f(x) = e^{-x^2} \), we will follow these steps:

### Step 1: Find the first derivative \( f'(x) \)

Using the chain rule, we differentiate \( f(x) \):
\[ f'(x) = \frac{d}{dx}(e^{-x^2}) = e^{-x^2} \cdot (-2x) = -2x e^{-x^2} \]
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