Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.5 Exercises: 68

Answer

a) slope at $x=-3$ is greater. b) $(-2, 3)$ and $(2, 3)$. c) $(0, 5.8)$.

Work Step by Step

a) The greater the slope, the closer the line is to the vertical. The tangent at $x=-3$ is closer to the vertical than the tangent at $x=-1.$ b) Visually, the graph has a vertical tangent at $x=-2$ and $x=2$; checking the y-values at these points gives us the points' coordinates. c) Visually, the graph has a horizontal tangent at $x=0$; estimating the y-value at that point gives us the point's coordinates.
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