# How do you find the derivative of #3x^2 (4x - 12)^2 + x^3 (2) (4x - 12) (4)#?

##### 1 Answer

Aug 23, 2015

Rewrite a bit and then you have a choice.

#### Explanation:

Now we could use the product rule to differentiate each of the two terms.

I prefer to factor first.

# = x^2(4x-12)(20x-36)#

# = 16x^2(x-3)(5x-9)#

Now we can either distrubute the

So we get:

This can also be factored and simplified if you wish.