# How do you differentiate # y =2x^3(x^3 - 3)^4 # using the chain rule?

##### 1 Answer

Jul 26, 2016

#### Explanation:

This problem actually requires the application of both the product rule and the chain rule.

The product rule states that

And the chain rule states that

We'll start by applying the product rule:

Now we use the chain rule to differentiate the parenthetical term:

We can simplify a bit to make things cleaner and combine terms: