   Chapter 2.8, Problem 42E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# The graph of f is given. State, with reasons, the numbers at which f is not differentiable. To determine

To state: The graph of the function f is not differentiable at which the numbers.

Explanation

Note: The function f is not differentiable at the point a, then it must satisfies any of the following conditions.

(i) The function f is discontinuous at the point a.

(ii) The function f has a corner point at the point a.

(iii) The function f has a vertical tangent at the point a.

From the graph of f, it is observed that f has a corner point at x=2. That is, f has no tangent at that point and it is not differentiable at x=2.

The graph of f has a removable discontinuity at x=1

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