Find the Open Intervals on Which the Function $f ( x ) = \frac { x } { x ^ { 2 } + 36 }$

Multiple Choice

Find the open intervals on which the function $f ( x ) = \frac { x } { x ^ { 2 } + 36 }$ is increasing or decreasing.

A) The function is increasing on the interval $- 6 < x < 6$ , and decreasing on the intervals $- \infty < x < - 6$ and $6 < x < \infty$ .
B) The function is increasing on the interval $- \infty < x < - 6$ , and decreasing on the intervals $- 6 < x < 6$ and $6 < x < \infty$ .
C) The function is increasing on the interval $6 < x < \infty$ , and decreasing on the intervals $- \infty < x < - 6$ and $- 6 < x < 6$ .
D) The function is decreasing on the interval $- 6 < x < 6$ , and increasing on the intervals $- \infty < x < - 6$ and $6 < x < \infty$ .
E) The function is decreasing on the interval $- \infty < x < - 6$ , and increasing on the intervals $- 6 < x < 6$ and $6 < x < \infty$ .