Find the critical point and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to the critical point. Let
$f(x) = \frac{-6}{x^{2}+5}$

Critical Point =

Is $f$ a maximum or minumum at the critical point? ? Local maximum Local minimum

The interval on the left of the critical point is .
On this interval, $f$ is ? increasing decreasing while $f'$ is ? positive negative .

The interval on the right of the critical point is .
On this interval, $f$ is ? increasing decreasing while $f'$ is ? positive negative .