Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

score on last try: 0.44 of 1 pts. see details for more. get a similar q…

Question

score on last try: 0.44 of 1 pts. see details for more. get a similar question you can retry this question below select all the points at which the graph above is not differentiable -4 -3 -2 -1 0 1 2 3 4

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 at that point.

Step2: Analyze the graph

At \(x = 0\), there is a sharp corner. At \(x=2\), there is a discontinuity (a hole in the upper - part of the graph and a point below it). At \(x = 4\), there is a vertical tangent.

Answer:

0, 2, 4