Let (x) = x 3 3x + 1. Show that '(x) 3 for all x

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Let ƒ(x) = x− 3x + 1. Show that ƒ'(x) ≥ −3 for all x and that, for every m > −3, there are precisely two points where ƒ'(x) = m. Indicate the position of these points and the corresponding tangent lines for one value of m in a sketch of the graph of ƒ.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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