Question

score on last try: 1.56 of 2 pts. see details for more.> next question 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 differentiability condition

A function is not differentiable at a point if there is a sharp - corner, cusp, vertical tangent, or discontinuity at that point.

Step2: Analyze point x = - 3

At x=-3, the graph has a sharp - corner. The left - hand and right - hand derivatives are not equal. So, the function is not differentiable at x = - 3.

Step3: Analyze point x = 3

At x = 3, there is a jump discontinuity (a hole in the graph and a separate point above it). Since the function is discontinuous at x = 3, it is not differentiable at x = 3.

Answer:

-3, 3