Let f be a differentiable function with inverse g which is also differentiable. Assume
Chapter 4, Problem 78(choose chapter or problem)
Let f be a differentiable function with inverse g which is also differentiable. Assume that f (0) = 0 and f (0) = 0. (a) Use the fact that f (g(x)) = x and the Chain Rule to show that g (x) = 1 f (g(x)). (b) Prove that lim x0 f (x) g(x) = f (0) 2 In
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