Chapter 2.2, Problem 46E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

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The graphs of a function *f* and its derivative

To determine

Which is bigger

Explanation

**Given:**

Wherever red graph has a horizontal tanget blue graph is crossing x-axis. Wherever red graph is decreasing blue graph is negative and also wherever red curve is increasing blue curve is positive. Thus we may conclud that blue curve is a graph of

Now we see that the slope of tangent at x = -1 of the red curve is positive (because red curve is increasing at x = -1) that is

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