Find the intervals in which `f(x)=x/2+2/x , x!=0` is increasing or decreasing.

Explanation

To find the intervals in which the function \( f(x) = \frac{x}{2} + \frac{2}{x} \) (where \( x \neq 0 \)) is increasing or decreasing, we will follow these steps:

### Step 1: Find the derivative of the function
To determine where the function is increasing or decreasing, we first need to find the derivative \( f'(x) \).

\[ f'(x) = \frac{d}{dx} \left( \frac{x}{2} + \frac{2}{x} \right) \]
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