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: 5


Yes, there are continuous functions that are not differentiable.

Work Step by Step

An example of a continuous, but not differentiable function would be $ y = |x|$. The function is continuous throughout, but there exists a sharp point at (0,0). This makes the derivative different, depending on from what side you approach the sharp point.
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