Question

Find the derivative of (3x^4+4)^4

Answer 1

So,

Given the function:

$f(x)=(3x^4+4)^4$

We're going to find its deritative using the chain rule:

$f^{\prime}(x)=4(3x^4+4)^3\cdot12x^3$

So that's the result.

Simplified, this is:

$f^{\prime}(x)=^{}48x^3(3x^4+4)^3$