How do you find the derivative of #3x^2 (4x - 12)^2 + x^3 (2) (4x - 12) (4)#?
Rewrite a bit and then you have a choice.
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.