Question

How do you differentiate `f(x)=(x^2+1)^3` using the chain rule?

Answer 1

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

Explanation:

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

Answer 2

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

Explanation:

`"given "f(x)=g(h(x))" then"`

`f'(x)=g'(h(x))xxh'(x)larrcolor(blue)"chain rule"`

`f'(x)=3(x^2+1)^2xxd/dx(x^2+1)`

`color(white)(f'(x))=3(x^2+1)^2xx2x=6x(x^2+1)^2`