Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 4 - Applications of the Derivative - 4.1 Linear Approximation and Applications - Preliminary Questions - Page 172: 1



Work Step by Step

We have the equation: $ f(x) \approx L(x)=f(a)+f^{\prime}(a)(x-a)$ We see that the Linear Approximation says that the vertical change in the graph is approximately equal to the vertical change in the tangent line. In other words, if we "zoom in" on any curve, it will approximately look like a straight line. Thus, the statement is true.
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