Derivatives of Inverse Functions Suppose that f is a one-to-one differentiable function and its inverse function f

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Derivatives of Inverse Functions Suppose that f is a one-to-one differentiable function and its inverse function f-1 is also differentiable. Use implicit differentiation to show that

1 (f-)'(x) f'(f-'(x))

provided that the denominator is not 0.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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