Prove that if (0) g(0) and '(x) g '(x) for x 0, then (x) g(x) for all x 0 Show that the function given by y (x) g(x) is nonincreasing ...

Let hx fx gx By the sum rule hx fx gx Since fx gx ...

Prove that if (0) = g(0) and '(x) g'(x) for x 0, then (x)

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Prove that if ƒ(0) = g(0) and ƒ'(x) ≤ g'(x) for x ≥ 0, then ƒ(x) ≤ g(x) for all x ≥ 0. Show that the function given by y = ƒ(x) − g(x) is nonincreasing.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Nov 15, 2023 07:07 AM

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Prove that if (0) = g(0) and '(x) g'(x) for x 0, then (x)

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Calculus

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