Question

Question #9ef93

Answer 1

`f'(x)=4(2x-6)^3*2(x^2+1)^5+(2x-6)^4*5(x^2+1)^4*2x`

Explanation:

assume exist `f(x)=(2x-6)^4(x^2+1)^5`
use chain rule
`d/dx(2x-6)^4=4(2x-6)^3d/dx(2x-6)=4(2x-6)^3*2`
same concept
`d/dx(x^2+1)^5=5(x^2+1)^4*2x`

`f'(x)=4(2x-6)^3*2(x^2+1)^5+(2x-6)^4*5(x^2+1)^4*2x`