If f(x) = (2x3 − 4)6, then what is f '(x)? (4 points)

Step-by-step explanation:

The Chain Rule for Derivatives

Given a function y=f(u) and u=g(x), the derivative dy/dx is computed by using the chain rule:

We have:

It can be written as:

Where:

Thus:

Changing back u:

Operating:

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.