Differentiate the following function with respect to `x :` `tan^(-1)((a+btanx)/(b-atanx))`

Explanation

To differentiate the function \( y = \tan^{-1}\left(\frac{a + b \tan x}{b - a \tan x}\right) \) with respect to \( x \), we can follow these steps:

### Step 1: Rewrite the Function
We start with the function:
\[ y = \tan^{-1}\left(\frac{a + b \tan x}{b - a \tan x}\right) \]

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