# 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 36E
To determine

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

Expert Solution

Thenumbers are 0 and 3 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:

x=0 Because f is not continuous there.

x=3 Because the graph of f has a corner at x=3 , for a graph to be differentiable, the curve must be smooth.

Hence, the numbers are 0 and 3 where f is not differentiable.

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