Let f: R → R be a function defined by $f(x)=max.\{x,x^3\}$. The set of all points where f(x) is not differentiable is
Answer & explanation
Correct answer: option 4
$f(x)=max.\{x,x^3\}$. From the graph, itself the function is not differentiable at {–1, 0, 1} due to the nature of the graph.