select all the points at which the graph above is not differentiable\n-4\n-3\n-2\n-1\n0\n1\n2\n3\n4
select all the points at which the graph above is not differentiable\n-4\n-3\n-2\n-1\n0\n1\n2\n3\n4
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 sharp corners
At (x=-3), the graph has a sharp corner. The slope of the left - hand side of the graph and the right - hand side of the graph at (x = - 3) are different, so the function is not differentiable at (x=-3).
Step3: Analyze discontinuity
At (x = 1), there is a hole (removable discontinuity) in the graph. Since the function is not continuous at (x = 1), it is not differentiable at (x = 1).
Answer:
-3, 1