# How do you find all critical and inflection points for (x)/[(x^2) +3]?

Jun 21, 2015

Max: $x = \sqrt{3} , y = \frac{\sqrt{3}}{6}$
Min: $x = - \sqrt{3} , y = - \frac{\sqrt{3}}{6}$
Inflection Points:
$x = 0 , y = 0$
$x = 3 , y = 0.25$
$x = - 3 , y = - 0.25$

#### Explanation:

I analized the first and second derivative: