If `y=log tan.(x)/(2)` , find `(dy)/(dx)`.

Explanation

To find the derivative of the function \( y = \log \tan\left(\frac{x}{2}\right) \), we will use the chain rule and the properties of logarithms. Here’s a step-by-step solution:

### Step 1: Rewrite the function
We start with the function:
\[ y = \log \tan\left(\frac{x}{2}\right) \]

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