Evaluate differentiation of y with respect to x.
`(3x+cotx)`

Explanation

To evaluate the differentiation of \( y \) with respect to \( x \), where \( y = 3x + \cot x \), we will follow these steps:

### Step 1: Write down the function
We start with the function:
\[ y = 3x + \cot x \]

### Step 2: Differentiate each term
We need to find the derivative \( \frac{dy}{dx} \). We can differentiate each term in the function separately.

1. **Differentiate \( 3x \)**:
\[ \frac{d}{dx}(3x) = 3 \]

2. **Differentiate \( \cot x \)**:
The derivative of \( \cot x \) is:
\[ \frac{d}{dx}(\cot x) = -\csc^2 x \]

### Step 3: Combine the derivatives
Now, we combine the derivatives of both terms:
\[ \frac{dy}{dx} = \frac{d}{dx}(3x) + \frac{d}{dx}(\cot x) = 3 - \csc^2 x \]

### Final Answer
Thus, the derivative of \( y \) with respect to \( x \) is:
\[ \frac{dy}{dx} = 3 - \csc^2 x \]

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