If `y=logsqrt((1-tanx)/(1+tanx))` , prove that `(dy)/(dx)=-sec2x` .

Explanation

To prove that \(\frac{dy}{dx} = -\sec^2 x\) for the function \(y = \log \sqrt{\frac{1 - \tan x}{1 + \tan x}}\), we will follow these steps:

### Step 1: Rewrite the function
We start with the given function:
\[ y = \log \sqrt{\frac{1 - \tan x}{1 + \tan x}} \]
Using the property of logarithms, we can rewrite this as:
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