Question

Question #88e03

Answer 1

`g'(x)=(x-5)^2(4x-7)`

Explanation:

`g(x)=color(blue)((x-1))color(red)((x-5)^3)`

`g'(x)=color(blue)((x-1))color(red)((3)(x-5)^2(1))+color(blue)((1))color(red)((x-5)^3)`

`g'(x)=(3x-3)(x-5)^2+(x-5)^3`

`g'(x)=(x-5)^2(3x-3+x-5)`

`g'(x)=(x-5)^2(4x-7)`