To state: The number of points where given graph of function f is not differentiable.

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 2.7, Problem 37E
To determine

To state:The number of points where given graph of function f is not differentiable.

Expert Solution

The numbers are -1 and 4 where f is not differentiable.

Explanation of Solution

Given: The graph of function.

Let f be any function and graph of this function is given.

It has to find numbers of points at which f is not differentiable.

The function f is not differentiable at the following numbers:

Because the tangent is vertical at x=1 .

x=4 Because there is a corner in graph of f .

Hence, the numbers are -1 and 4 where f is not differentiable.

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