Question

the graph of f is given. state the numbers at which f is not differentiable. (enter your answers as a comma-separated list.)

Answer 1

The numbers at which f is not differentiable are; -1, and 2

The reason the above list of numbers at which f is not differentiable are correct are given as follows:

Question; Please find attached a graph that can be used to solve the question

• A function is not differentiable at a point where the  function has a discontinuity. That is a point on the graph were there is a break in the graph

Therefore, the given graph of f shows that the function is not differentiable at x = -1, the point where the graph has a discontinuity

• A function is not differentiable at a point where the graph of the function has a kink or corner.

The graph of f has a kink at x = 2, therefore, the function is also not differentiable at x = 2

Learn more about differentiability of a function here:

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