Compute the derivative of the given function in two different ways. $\displaystyle{ g(x) = 3 x^{2}( 8 x^{4}) }$

1. Use the Product Rule, $[fg]' = f\cdot g' + f' \cdot g$. (Fill in each blank, then simplify.)
   $g'(x) = \Big($ $\Big) \cdot \Big($ $\Big) + \Big($ $\Big) \cdot \Big($ $\Big)$
   = .
2. Use algebra first to simplify $g$, then differentiate without the Product Rule.
   $g'(x) =$ .