Find the maximum or minimum values of the function `y=x+1/x` for `xgt0`.

Explanation

To find the maximum or minimum values of the function \( y = x + \frac{1}{x} \) for \( x > 0 \), we will follow these steps:

### Step 1: Differentiate the function
We start by finding the derivative of the function \( y \) with respect to \( x \).

\[ \frac{dy}{dx} = \frac{d}{dx}(x + \frac{1}{x}) = 1 - \frac{1}{x^2} \]
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