Find all functions f such that f' is continuous and [f(x)12 = 100 + 1X{f(t)]2 + [f'(t)]2}

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Find all functions f such that f' is continuous and

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Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

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Question Posted: Mar 04, 2016 07:16 AM

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Find all functions f such that f' is continuous and [f(x)12 = 100 + 1X{f(t)]2 + [f'(t)]2}

Question:

[f(x)12 = 100 + 1X{f(t)]2 + [f'(t)]2} dt for all real x

Step by Step Answer:

We use the Fundamental Theorem of Calculus to differentiate the given equati...View the full answer

Calculus Early Transcendentals

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