Using the Inverse Function Theorem, prove that (arcsin x)' = 1/l - x2 for x (-1,

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Using the Inverse Function Theorem, prove that (arcsin x)' = 1/√l - x2 for x ∈ (-1, 1) and (arctan x)' = 1/(1 + x2) for x ∈ (-∞, ∞).

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:01 AM

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Using the Inverse Function Theorem, prove that (arcsin x)' = 1/l - x2 for x (-1,

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Let fx sin x Then fx cos x 0 for x 2 2 and f2 2 1 1 He...View the full answer

An Introduction to Analysis

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