list the points in the graph in the interval - 2 < x < 7 at which the function is not differentiable. the…

list the points in the graph in the interval - 2 < x < 7 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 - 2 < x < 7 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 points with sharp corners, vertical tangents, or discontinuities.

Step2: Analyze the graph

Inspect the graph in the interval (-2 < x<7). There is a sharp corner in the graph.

Answer:

The function is not differentiable at the point where the sharp - corner occurs. From the graph, it appears to be at (x = 4). So the answer is (4).