list the points in the graph at which the function is not differentiable. select all that apply. a. $x_0$ b…

list the points in the graph at which the function is not differentiable. select all that apply. a. $x_0$ b. $x_1$ c. $x_5$ d. $x_2$ e. $x_4$ f. $x_3$

list the points in the graph at which the function is not differentiable. select all that apply. a. $x_0$ b. $x_1$ c. $x_5$ d. $x_2$ e. $x_4$ f. $x_3$

Answer

Explanation:

Step1: Recall non - differentiability conditions

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

Step2: Analyze point (x_0)

The function is continuous and smooth at (x_0), so it is differentiable.

Step3: Analyze point (x_1)

There is a vertical asymptote at (x_1), so the function is not differentiable at (x_1).

Step4: Analyze point (x_2)

The function has a vertical tangent at (x_2), so it is not differentiable at (x_2).

Step5: Analyze point (x_3)

The function has a sharp corner at (x_3), so it is not differentiable at (x_3).

Step6: Analyze point (x_4)

The function is continuous and smooth at (x_4), so it is differentiable.

Step7: Analyze point (x_5)

The function is continuous and smooth at (x_5), so it is differentiable.

Answer:

B. (x_1), D. (x_2), F. (x_3)