Differentiate `e^(sqrt(cotx))`

Explanation

To differentiate the function \( y = e^{\sqrt{\cot x}} \), we will use the chain rule. Here’s a step-by-step solution:

### Step 1: Identify the outer and inner functions
Let \( u = \sqrt{\cot x} \). Then, we can rewrite our function as:
\[ y = e^u \]

### Step 2: Differentiate the outer function
Using the chain rule, the derivative of \( y \) with respect to \( x \) is:
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