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Home/Practice questions/Maths. Section B1
Maths. Section B1Continuity and Differentiability

Let f: R → R be a function defined by f(x)=max.x,x^3. The set of all…

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.

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