Answer :
So,
Given the function:
[tex]f(x)=(3x^4+4)^4[/tex]We're going to find its deritative using the chain rule:
[tex]f^{\prime}(x)=4(3x^4+4)^3\cdot12x^3[/tex]So that's the result.
Simplified, this is:
[tex]f^{\prime}(x)=^{}48x^3(3x^4+4)^3[/tex]