let f^(-1) : R->R be the inverse function of f(x)= x^5+2x+2. Find (f^(-1))'(5)

1. So im guessing i take the inverse function of x^5+2x+2? but i'm having trouble figuring it out.

2. I think i take the derivative of the inverse function

3. And then i think i plug in 5

any hoo i need help to figure this out please and thank you