Find the range of `tan^(-1)((2x)/(1+x^2))`

Explanation

To find the range of the function \( f(x) = \tan^{-1}\left(\frac{2x}{1+x^2}\right) \), we will follow these steps:

### Step 1: Define the function
Let \( y = \frac{2x}{1+x^2} \). We need to find the range of \( y \).

### Step 2: Analyze the function
The function \( y = \frac{2x}{1+x^2} \) is defined for all real values of \( x \).

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