Suppose f C[a, b] and f'(x) exists on (a, b). Show that if f'(x) 0

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Suppose f ∈ C[a, b] and f'(x) exists on (a, b). Show that if f'(x) ≠ 0 for all x in (a, b), then there can exist at most one number p in [a, b] with f (p) = 0.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:30 AM

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Suppose f C[a, b] and f'(x) exists on (a, b). Show that if f'(x) 0

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Numerical Analysis

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