Consider the function $\displaystyle f(x) = \frac{\ln(x)}{x^{3}}$. For this function there are two important intervals: $(A, B]$ and $[B,\infty)$ where $A$ and $B$ are critical numbers or numbers where the function is undefined.
Find $A$
Find $B$
For each of the following intervals, tell whether $f(x)$ is increasing (type in INC) or decreasing (type in DEC).
$(A, B]$:
$[B,\infty)$: