The given function is .
For f(x) to be defined,
and
and
and
Thus, the function f(x) is not defined when x = −1, x = 0 and x = 1.
We know that, the logarithmic function is differentiable at each point in its domain. Every constant function is differentiable at each x ∈ R. Also, the quotient of two differentiable functions is differentiable.
So, the function is not differentiable at x = −1, x = 0 and x = 1.
Thus, the set of points at which the function is not differentiable is {−1, 0, 1}.
The set of points at which the function is not differentiable, is ___{−1, 0, 1}___.