Differentiate the following w.r.t x
`e^(-5)`

Answer

To differentiate the function \( e^{-5} \) with respect to \( x \), we can follow these steps:

### Step 1: Identify the function
The given function is \( f(x) = e^{-5} \).

### Step 2: Recognize that it is a constant
Since \( e^{-5} \) is a constant (it does not depend on \( x \)), we can apply the rule for differentiating constant functions.

### Step 3: Apply the differentiation rule for constants
The derivative of any constant \( c \) with respect to \( x \) is 0. Mathematically, this is expressed as:
\[ \frac{d}{dx}(c) = 0 \]

### Step 4: Conclude the differentiation
Since \( e^{-5} \) is a constant, we have:
\[ \frac{d}{dx}(e^{-5}) = 0 \]

### Final Answer
Thus, the derivative of \( e^{-5} \) with respect to \( x \) is:
\[ 0 \]

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