If `f^(prime)(1)=2` and `y=f((log)_e x)` , find `(dy)/(dx)` at `x=e` .

Explanation

To solve the problem step-by-step, we start with the given information:

1. We know that \( f'(1) = 2 \).
2. We have the function \( y = f(\log_e x) \).

We need to find \( \frac{dy}{dx} \) at \( x = e \).

### Step 1: Differentiate \( y \) with respect to \( x \)
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