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 - Exercises - Page 116: 79


$f(x)$ appears to be not differentiable at $x=3 $ (the tangent line is vertical).

Work Step by Step

Given $$f(x)=(x-3)^{1 / 3}, \quad a=3$$ From the following figure, at $x=3, \ \ f(x)$ appears to be not differentiable (the tangent line is vertical there).
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