Use the Theorem on the derivative of an inverse:
If f(a) = c
Then [f^(-1)] ' (c) = 1 / f '(a)
f(x)=sqrt(x^3+x+2)
f(1) = 2
[f^(-1)] ' (2) = 1 / f '(1)
Would I be able to take the inverse of 2 first and then enter into f '(x) or do I have to replace f(x) with y(y=sqrt...) and then x with y(x=sqrt..) and solve for y? I'm sorry if its confusing.
Here is the problem:
Let f(x)=sqrt(x^3+x+2), find(f^-1)'(2).