Question

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.)

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.

Step2: Analyze the graph

Inspect the graph in the interval \(0 < x<8\). We look for points where the graph has a sharp turn.

Step3: Identify non - differentiable points

From the graph, we can see that there is a sharp corner at \(x = 4\).

Answer:

4