find the x - value(s) where the graph does not have a derivative. the x - value(s) where the function does…

Explanation:

Step1: Recall derivative - non - existence conditions

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

Step2: Examine the graph

Looking at the graph, we search for points with sharp corners.

Step3: Identify non - differentiable points

The graph has a sharp corner at a particular (x) - value. Let's assume from the general shape of the graph (since the actual graph details are a bit blurry in the image), if it is a typical "V" - shaped graph, the function is not differentiable at the vertex of the "V".

Answer:

The (x) - value(s) where the function does not have a derivative needs to be determined by observing the sharp - corner point(s) on the graph. If the graph is a simple "V" - shaped graph opening upwards or downwards, and the vertex of the "V" is at (x = a), then the answer is (x=a). Without a clear view of the graph's exact coordinates, we can't give a numerical value, but the general approach is to look for sharp - corner points on the graph.