Can you help me with this? I'm confused to know where the values that the function isn't differentiable.

Question

Consider the function whose graph is plotted below.

List the -values for which appears to not be differentiable.

Answer 1

If a function is not continuous, then it isn't differentiable either.

So, the function is not differentiable when x = -2 and 2

Also, there is a vertical tangent when x = 0 and the graph has sharp corners when x = -4 and -5

Therefore, f is not differentiable at x = -5, -4, -2, 0, and 2