Differentiate the following w.r.t. x:
`sin(tan^(-1)e^(-x))`

Explanation

To differentiate the function \( y = \sin(\tan^{-1}(e^{-x})) \) with respect to \( x \), we will use the chain rule. Here are the steps to find the derivative:

### Step 1: Define the function
Let
\[ y = \sin(\tan^{-1}(u)) \]
where
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