Find the local maximum, the local minimum values, if any, using first or second derivative test of the function f defined by
`f(x)=1+1/x+1/x^2`

Explanation

To find the local maximum and minimum values of the function \( f(x) = 1 + \frac{1}{x} + \frac{1}{x^2} \), we will use the first and second derivative tests.

### Step 1: Find the first derivative \( f'(x) \)

The first step is to differentiate the function \( f(x) \).

\[
f(x) = 1 + \frac{1}{x} + \frac{1}{x^2}
...