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Let \mathrm{f: R \rightarrow R} be a function defined by  \mathrm{f(x)=\max \left\{\left\{x, x^3\right\} .\right.} The set of all points where  \mathrm{f(x)} 

 is not differentiable is 


 

Option: 1

{-1,1}


Option: 2

{-1,1,0}


Option: 3

{0,1}


Option: 4

{-1,0,1}


Answers (1)

best_answer

\mathrm{f(x)=\max \left\{\left\{x, x^3\right\}\right.}

From the graph, itself the function is not differentiable at {–1, 0, 1} due to the nature of the graph.

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Riya

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