Dear finalfantasy,

What is the derivative of the function f(g(x)) at the point a?If for all real x we assume f(g(x)) = x and f'(x) = 1+ [f(x)]^2, then g'(0) equals .. I came up with the answer of: 1

The chain rule says g'(a) * f'(g(a)).

So

If we knew g(0)=0 you would be right.