Question

How do you differentiate `f(x)=(6x-4)(6x+1)^3` using the product rule?

Answer 1

`f' (x) = 6(6x+1)^2 (24x-11)`

Explanation:

start with the given

`f (x) =(6x-4)(6x+1)^3`

`f' (x) = (6x-4)*3(6x+1)^3*6+(6x+1)^3*6`

`f' (x)=6(6x+1)^2 (3*(6x-4)+6x+1)`

`f' (x)=6(6x+1)^2(18x-12+6x+1)`

`f' (x)=6(6x+1)^2(24x-11)`