Find the derivative of `(tan x-cot x)/(tan x+cot x)` with respect to 'x'.

Explanation

To find the derivative of the function \( y = \frac{\tan x - \cot x}{\tan x + \cot x} \) with respect to \( x \), we will follow these steps:

### Step 1: Rewrite the Function
First, we rewrite the function in terms of sine and cosine:
\[ \tan x = \frac{\sin x}{\cos x}, \quad \cot x = \frac{\cos x}{\sin x} \]
Thus,
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