use the graph of the function $f(x)$ shown below in order to determine all values of $x$ in the interval $-9…

use the graph of the function $f(x)$ shown below in order to determine all values of $x$ in the interval $-9 < x < 9$ where the function is not differentiable.

use the graph of the function $f(x)$ shown below in order to determine all values of $x$ in the interval $-9 < x < 9$ where the function is not differentiable.

Answer

Explanation:

Step1: Recall non - differentiability conditions

A function is not differentiable at points of discontinuity, sharp corners, and vertical tangents.

Step2: Identify discontinuities

From the graph, there are jump - discontinuities at (x=- 6) and (x = 1).

Step3: Identify sharp corners

There are no sharp corners in the given graph.

Step4: Identify vertical tangents

There is a vertical tangent at (x = 4).

Answer:

(x=-6,1,4)