| Interval | Sign of f\(^\prime\) | Conclusion |
|---|---|---|
| \(( -\infty ,-\sqrt{3})\) | negative | \(f\) is decreasing on \(( -\infty ,-\sqrt{3})\) |
| \(( -\sqrt{3},0)\) | positive | \(f\) is increasing on \(( - \sqrt{3},0)\) |
| \((0,\sqrt{3})\) | positive | \(f\) is increasing on \(( 0, \sqrt{3})\) |
| \(( \sqrt{3},\infty )\) | negative | \(f\) is decreasing on \(( \sqrt{3},\infty )\) |