Differentiate the functions with respect to x
`2sqrt(cot(x^2))`

Explanation

To differentiate the function \( y = 2\sqrt{\cot(x^2)} \) with respect to \( x \), we will use the chain rule and the product rule. Here’s the step-by-step solution:

### Step 1: Rewrite the function
We can express the function in a more convenient form for differentiation:
\[ y = 2 (\cot(x^2))^{1/2} \]

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