Given the following functions: $\displaystyle{ f(u)=u^{3/2} }$ and $\displaystyle{ g(x)=x^{4}+1}$, find: $\displaystyle{ f(g(x))= }$ $\displaystyle{ f'(u)= }$ $\displaystyle{ f'(g(x))= }$ $\displaystyle{ g'(x)= }$ $\displaystyle{ (f\circ g)'(x)= }$