Calculus (3rd Edition)

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

Chapter 3 - Differentiation - 3.2 The Derivative as a Function - Preliminary Questions - Page 114: 4


The derivative does not exist if the tangent line is vertical.

Work Step by Step

If the tangent line is horizontal, that means the slope is zero, which is a valid derivative. If the tangent line is vertical, that means the slope cannot be defined, which means the derivative does not exist.
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