If `f(x)=(f(x))/y+(f(y))/x` holds for all real `x` and `y` greater than `0a n df(x)` is a differentiable function for all `x >0` such that `f(e)=1/e ,then find f(x)dot`

Explanation

To solve the problem, we start with the given functional equation:

\[ f(x) = \frac{f(x)}{y} + \frac{f(y)}{x} \]

for all \( x, y > 0 \).

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