find all points where the function whose graph is shown does not have a derivative. the point(s) where the…

find all points where the function whose graph is shown does not have a derivative. the point(s) where the function does not have a derivative is/are x = (use a comma to separate answers as needed.)

find all points where the function whose graph is shown does not have a derivative. the point(s) where the function does not have a derivative is/are x = (use a comma to separate answers as needed.)

Answer

Explanation:

Step1: Recall derivative - non - existence conditions

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

Step2: Analyze the graph

Looking at the given graph, the function has sharp corners at (x=- 4) and (x = 4). At these points, the left - hand and right - hand derivatives are not equal.

Answer:

(-4,4)