Find the Coordinates of the Points of Inflection for the Function

Multiple Choice

Find the coordinates of the points of inflection for the function.
- $f(x) =\frac{5 x}{x^{2}+49}$

A) $\left( \pm \frac{1}{\sqrt{3}}, \frac{21}{4}\right)$
B) $(0,0) ,\left(\sqrt{147},-\frac{5}{196} \sqrt{147}\right)$ ,
C) $\left( \pm \frac{7}{\sqrt{3}}, \frac{15}{196}\right)$
$\left(-\sqrt{147}, \frac{5}{196} \sqrt{147}\right)$
D) $(0,0) ,\left(\sqrt{147}, \frac{5}{196} \sqrt{147}\right)$ , $\left(-\sqrt{147},-\frac{5}{196} \sqrt{147}\right)$