Homework Help: Hard differentiation problem

1. Jan 10, 2004

tandoorichicken

If $$\frac{\,df(x)}{\,dx} = g(x)$$ and $$\frac{\,dg(x)}{\,dx} = f(x^2)$$
Then what is $$\frac{\,d^2f(x^3)}{\,dx^2}$$?

2. Jan 10, 2004

himanshu121

differentiate $$\frac{\,df(x)}{\,dx} = g(x)$$
u will get $$\frac{\,d^2f(x)}{\,dx^2}=\frac{dg(x)}{dx}=f(x^2)$$

Is this enough