Let f R to R be differentiable and assume there is no x belongs to R such that f(x) f'(x) 0 Show that S x 0 x 1, f(x) 0 is finite Let f R to R be differentiable and assume there is no x belongs to R such that f(x) f'(x) 0 Show that S x 0 x 1, f(x) 0 is finite ...

Let f: R to R be differentiable and assume there is no x belongs to R...

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Introduction to Real Analysis

ISBN: 978-0471433316

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Authors: Robert G. Bartle, Donald R. Sherbert

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Let f: R to R be differentiable and assume there is no x belongs to R...

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Let f: R to R be differentiable and assume there is no x belongs to R such that f(x) = f'(x) = 0. Show that S = {x|0 ≤ x ≤ 1, f(x)=0} is finite. Let f: R to R be differentiable and assume there is no x belongs to R such that f(x) = f'(x) = 0. Show that S = {x|0 ≤ x ≤ 1, f(x)=0} is finite.

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Introduction to Real Analysis

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