Use the definition of the derivative (don't be tempted to take shortcuts!) to find the derivative of the function $$f(x) = \frac{3}{6 x^{2}}.$$ Then state the domain of the function and the domain of the derivative.
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 of $f(x)$ =

Domain of $f'(x)$ =