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## Main Question or Discussion Point

I have no idea how to do this question, can anyone provide some help?

Suppose f is differentiable with derivative f '(x) = (1+x^3) ^(1/2).

If g = f^-1, show that g ''(x) = 3/2 g(x)^2.

Suppose f is differentiable with derivative f '(x) = (1+x^3) ^(1/2).

If g = f^-1, show that g ''(x) = 3/2 g(x)^2.