Question

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.)

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 \(4\).