Suppose that $$f(x) = x^2 \ln(12 - 2 x^2).$$ Find $f'(x)$, and use interval notation to give the domain of $f$.
Note: When entering interval notation in WeBWorK, use I for $\infty$, -I for $-\infty$, and U for the union symbol. If the set is empty, enter "{}" without the quotation marks.

$f'(x)$ =

Domain =