score on last try: 1.56 of 2 pts. see details for more. > next question get a similar question you can retry…

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

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

Answer

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=-4), the graph has a sharp corner. So the function is not differentiable at (x = - 4).
  • At (x = 2), there is a hole (a removable discontinuity). The function is not differentiable at (x=2) since the function is not continuous at (x = 2).

Answer:

-4, 2