Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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Question
Transcribed Image Text:9. Which of the following statements is/are true?
I. If f '(x) exists and is nonzero for all x, then f(1) + f(0).
II. If f is differentiable for all x and f (-1) = f(1), then there is a number c, such that |c| < 1 and f '(c) = 0.
II. If f '(c) = 0, then f has a local maximum or minimum at x = c.
%3D
I only
Il only
I and III only
I and II only
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