How do you find the relative extrema for f(x) = (x+2)/x?

Jul 12, 2018

No relative extrema

Explanation:

Writing

$f \left(x\right) = \frac{x + 2}{x} = 1 + \frac{2}{x}$

so $f ' \left(x\right) = - \frac{2}{x} ^ 2$

and

$f ' \left(x\right) = - \frac{2}{x} ^ 2$ is $\ne 0$