List the xvalues in the graph at which the function is not d

List the x-values in the graph at which the function is not differentiable.

Solution

More generally, if x₀ is a point in the domain of a function f, then f is said to be differentiable at x₀ if the derivative f (x₀) exists.Also we can say that it will be differentiable if both right and left hand limits of f (x₀)

exist. From the graph it is clear that at points x=(1,3) is not differentiable.Since at point x=1,x=3 f (x) varies at left hand side and right hand side.