Calculus I: An example using the Inverse Function Theorem
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Calculus I: An example using the Inverse Function Theorem
We use the inverse function theorem to calculate the derivative of an inverse function evaluated at a point b in the range of f. With this same example, at 3:34 we see what happens when you have a one-to-one function that does not satisfy all of the hypotheses for the Inverse Function Theorem.
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