list the points in the graph in the interval 0 < x < 8 at which the function is not differentiable. the…

list the points in the graph in the interval 0 < x < 8 at which the function is not differentiable. the function is not differentiable at x = (use a comma to separate answers as needed.)

list the points in the graph in the interval 0 < x < 8 at which the function is not differentiable. the function is not differentiable at x = (use a comma to separate answers as needed.)

Answer

Explanation:

Step1: Recall non - differentiability conditions

A function is not differentiable at a point if there is a sharp corner, a cusp, a vertical tangent, or a discontinuity at that point.

Step2: Examine the graph

Looking at the graph in the interval (0 < x<8), we search for such features. We can see that there is a sharp corner on the graph.

Answer:

The specific (x) - value at the sharp corner (which needs to be determined precisely from the graph, assume it is (x = 4) based on visual inspection). So the answer is (4) (you may need to adjust according to the actual graph details).