Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 3 - Derivatives - 3.2 Working with Derivatives - 3.2 Exercises: 18

Answer

The graphs are on the figure below. The derivative is represented by the red line and three different functions by blue, green and orange.
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Work Step by Step

The graph of $y=f'(x)=2$ is just a horizontal straight line intercepting the $y$ axis at $y=2$ (red line on the graph below). This derivative can be the derivative of any linear function with the slope $2$ i.e. $f(x)=2x+b$ where $b$ can be any number. We will plot the three functions for three different values of $b$: $b=1$ (red), $b=-2$ (green), $b=0$ (orange)
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