Question: 3) Suppose that f'(x) > 0 on (a, b). Prove that f is strictly increasing in (a, b), and let g be its inverse function.

3) Suppose that f'(x) > 0 on (a, b). Prove that f is strictly increasing in (a, b), and let g be its inverse function. Prove that g is differentiable, and that H g'(f (x ) = (a

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