Question #88e03

1 Answer
Mar 19, 2017

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)