What are the critical points of $f(x) = x + \frac{1}{x}$?

Explanation

1. 01

   Critical points are where $f'(x) = 0$: $f'(x) = \frac{\left(x - 1\right) \left(x + 1\right)}{x^{2}}$.

2. 02

   So $x = -1, 1$.