# How do you differentiate #g(x) = sqrt(2x^3-4)cos4x# using the product rule?

##### 1 Answer

Oct 26, 2017

#### Explanation:

Okay, the product rule pertains to the product of 2 functions.

Here we have

And

We can attack the problem piece by piece. First, calculate

...this derivative is calculated via the chain rule:

and calculating g(x) also uses the chain rule, but is pretty simple:

So

GOOD LUCK