Differentiate `tan^(-1)((a+b x)/(b-a x))` with respect to `x` .

Explanation

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

### Step 1: Rewrite the Function
We start with the function:
\[ y = \tan^{-1}\left(\frac{a + bx}{b - ax}\right) \]
To simplify the differentiation, we can rewrite the argument of the tangent inverse function by dividing both the numerator and denominator by \( b \):
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