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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

The graph of .f is shown. State, with reasons, the numbers at which .f is not differentiable.

Chapter 2, Problem 47RE, The graph of .f is shown. State, with reasons, the numbers at which .f is not differentiable.

To determine

To find: The numbers at which the function f is not differentiable.

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 given graph, it is clearly observed that x=4, 2 are two discontinuous points of f.

Thus, f is not differentiable at x=4, 2.

From the graph of f, it is observed that f has a corner point at x=1

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