If `y=logsqrt(tanx)` , then the value of `(dy)/(dx)` at `x=pi/4` is given by (a)`oo` (b) 1 (c) 0 (d) `1/2`

Explanation

To find the value of \(\frac{dy}{dx}\) for the function \(y = \log(\sqrt{\tan x})\) at \(x = \frac{\pi}{4}\), we will follow these steps:

### Step 1: Rewrite the function
We start with the function:
\[ y = \log(\sqrt{\tan x}) \]
Using the property of logarithms that states \(\log(a^b) = b \log(a)\), we can rewrite this as:
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