Differentiate
`(sqrt(x)+(1)/(x))(x-(1)/sqrt(x))` with respect to 'x'.

Explanation

To differentiate the function \( y = \left( \sqrt{x} + \frac{1}{x} \right) \left( x - \frac{1}{\sqrt{x}} \right) \) with respect to \( x \), we will follow these steps:

### Step 1: Simplify the expression
First, we will simplify the given expression before differentiating.

\[ y = \left( \sqrt{x} + \frac{1}{x} \right) \left( x - \frac{1}{\sqrt{x}} \right) \]
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