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A differentiable function f with a differentiable inverse, F, has the property that f '(1) = −2 and F(0) = 1. What is the value of the derivative of the inverse of f at x = 0? That is, calculate F '(0).
All I am able to figure out is that:
f (1) = 0 and F '(-2) = 1 which I think is correct. right?
But how and I supposed to use that to figure out what F '(0) is equal to?