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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2, Problem 39RE

To determine

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

Expert Solution

The numbers at which the function *f* is not differentiable are

**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 *f.*

Thus, *f* is not differentiable at

From the graph of *f*, it is observed that *f* has a corner point at *f* has no unique tangent at that point and it is not differentiable at

The graph of *f* has a vertical tangent at the point *f* is not differentiable at the point

Thus, the numbers at which the function *f* is not differentiable are