Question

How do I differentiate g(f(x^2))?

Answer 1

I know this has to do with the chain rule, but for some reason it is confusing me.

Answer 2

\((f(g(x))' = f'(g(x))\times g'(x)\)

basically we derivate outer function, and multiply it with derivative of inner function

Answer 3

I get g'(f(x^2) X f'(x^2) X 2x.

Answer 4

correct!

Answer 5

Oh okay, I think I see. I was trying to do it a shorter way, but I gave in and used substitution, and it makes sense now. xD Thanks.

Answer 6

welcome ^_^