# Chain rule

1. Nov 17, 2005

### jesuslovesu

I'm a little confused as to when to stop taking the derivative of the inside function when using the chain rule...

Lets say I have f( g(x^2) )

Would this be correct?
f( g(x^2) ) * g(x^2) * 2x ?

Or do I keep on going until the x is completely gone from the equation?

2. Nov 17, 2005

### DaMastaofFisix

nope, you're done. The idea here is that you only differentiate the functions given. You can't assume that there are still more. All this is is a double composite. It could have been written as F(g(h(x)), which is the same as before except with replcing th x^2 with h(x). Just do the setup and don't second guess yourself.