The differentiation of `e^-x` with respect to `x` is `-e^-xdot` i.e. `d/(dx)(e^-x)=-e^-x`

Explanation

To differentiate the function \( e^{-x} \) with respect to \( x \), we will use the first principle of differentiation. The first principle states that the derivative of a function \( f(x) \) can be expressed as:

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

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