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
provided that the denominator is not 0.
Transcribed Image Text:
1 (f-)'(x) f'(f-'(x))
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Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
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