Find the intervals in which `f(x)=log(1+x)-x/(1+x)` is increasing or decreasing.

Explanation

To determine the intervals in which the function \( f(x) = \log(1+x) - \frac{x}{1+x} \) is increasing or decreasing, we will follow these steps:

### Step 1: Determine the Domain of the Function
The function \( f(x) \) involves a logarithm, which is defined only for positive arguments. Therefore, we need \( 1 + x > 0 \), leading to:
\[ x > -1 \]
Thus, the domain of \( f(x) \) is:
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